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Mathematics Quiz - Class 9 Mathematics Medium Level 56 Quiz

Question 1/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(4,9,14,19,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(4,9,14,19,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (5n-1)

Step 1

Concept

It has common difference (5), so (a_n=4+(n-1)5=5n-1). Use the first term and difference to form the rule.

Step 2

Why this answer is correct

The correct answer is A. (5n-1). It has common difference (5), so (a_n=4+(n-1)5=5n-1). Use the first term and difference to form the rule.

Step 3

Exam Tip

यह समान अंतर (5) वाली श्रेढ़ी है, इसलिए (a_n=4+(n-1)5=5n-1)। पहले पद और अंतर से नियम बनाएं।

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Question 2/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=3n+2\) है, तो \(a_8\) का मान क्या होगा?

If \(a_n=3n+2\), what is the value of \(a_8\)?

Explanation opens after your attempt

Correct Answer

B. (26)

Step 1

Concept

(a_8=3(8)+2=26). Put the term number in place of (n) in the rule.

Step 2

Why this answer is correct

The correct answer is B. (26). (a_8=3(8)+2=26). Put the term number in place of (n) in the rule.

Step 3

Exam Tip

(a_8=3(8)+2=26)। दिए नियम में (n) की जगह पद-संख्या रखें।

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Question 3/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

समानांतर श्रेढ़ी में पहला पद (7) और समान अंतर (4) है। (12)वाँ पद क्या होगा?

In an arithmetic progression, the first term is (7) and the common difference is (4). What is the (12)th term?

Explanation opens after your attempt

Correct Answer

C. (51)

Step 1

Concept

(a_{12}=7+11(4)=51). Up to the (12)th term, (11) differences are used.

Step 2

Why this answer is correct

The correct answer is C. (51). (a_{12}=7+11(4)=51). Up to the (12)th term, (11) differences are used.

Step 3

Exam Tip

(a_{12}=7+11(4)=51)। (12)वें पद तक (11) अंतर लगते हैं।

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Question 4/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(2,6,18,\ldots\) का (6)वाँ पद क्या है?

What is the (6)th term of the geometric progression \(2,6,18,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (486)

Step 1

Concept

Here (r=3), so \(a_6=2\cdot3^5=486\). Use \(a_n=ar^{n-1}\) in a geometric progression.

Step 2

Why this answer is correct

The correct answer is D. (486). Here (r=3), so \(a_6=2\cdot3^5=486\). Use \(a_n=ar^{n-1}\) in a geometric progression.

Step 3

Exam Tip

यहाँ (r=3), इसलिए \(a_6=2\cdot3^5=486\)। गुणोत्तर श्रेढ़ी में \(a_n=ar^{n-1}\) लगाएं।

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Question 5/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(1,4,9,16,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(1,4,9,16,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(n^2\)

Step 1

Concept

This is the sequence of square numbers, so \(a_n=n^2\). Identify the pattern from the first few terms.

Step 2

Why this answer is correct

The correct answer is A. \(n^2\). This is the sequence of square numbers, so \(a_n=n^2\). Identify the pattern from the first few terms.

Step 3

Exam Tip

यह वर्ग संख्याओं का अनुक्रम है, इसलिए \(a_n=n^2\)। पैटर्न को पहले कुछ पदों से पहचानें।

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Question 6/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=2n^2+1\) है, तो \(a_5\) क्या होगा?

If \(a_n=2n^2+1\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

B. (51)

Step 1

Concept

(a_5=2(5)²+1=51). Calculate the power first and then add.

Step 2

Why this answer is correct

The correct answer is B. (51). (a_5=2(5)²+1=51). Calculate the power first and then add.

Step 3

Exam Tip

(a_5=2(5)²+1=51)। घात की गणना पहले करें फिर जोड़ें।

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Question 7/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(6,11,16,21,\ldots\) में \(a_n=46\) के लिए (n) क्या है?

In the sequence \(6,11,16,21,\ldots\), what is (n) when \(a_n=46\)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

Here (a_n=6+(n-1)5=5n+1), so (5n+1=46) gives (n=9). Set the rule equal to the given term.

Step 2

Why this answer is correct

The correct answer is C. (9). Here (a_n=6+(n-1)5=5n+1), so (5n+1=46) gives (n=9). Set the rule equal to the given term.

Step 3

Exam Tip

यहाँ (a_n=6+(n-1)5=5n+1), इसलिए (5n+1=46) से (n=9)। पद मिलने पर नियम को बराबर रखें।

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Question 8/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=4n-3\) है, तो कौन-सा पद (45) के बराबर होगा?

If \(a_n=4n-3\), which term will be equal to (45)?

Explanation opens after your attempt

Correct Answer

C. (12)वाँ(12)th

Step 1

Concept

From (4n-3=45), (4n=48) and (n=12). Solve the equation to find the term position.

Step 2

Why this answer is correct

The correct answer is C. (12)वाँ / (12)th. From (4n-3=45), (4n=48) and (n=12). Solve the equation to find the term position.

Step 3

Exam Tip

(4n-3=45) से (4n=48) और (n=12)। पद की स्थिति के लिए समीकरण हल करें।

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Question 9/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(3,7,11,15,\ldots\) का (15)वाँ पद क्या है?

What is the (15)th term of the sequence \(3,7,11,15,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (59)

Step 1

Concept

(a_n=3+(n-1)4), so (a_{15}=3+14(4)=59). Up to the (15)th term, (14) differences are used.

Step 2

Why this answer is correct

The correct answer is C. (59). (a_n=3+(n-1)4), so (a_{15}=3+14(4)=59). Up to the (15)th term, (14) differences are used.

Step 3

Exam Tip

(a_n=3+(n-1)4), इसलिए (a_{15}=3+14(4)=59)। (15)वें पद तक (14) अंतर लगते हैं।

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Question 10/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(5,10,20,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the geometric progression \(5,10,20,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. \(5\cdot2^{n-1}\)

Step 1

Concept

The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

Step 2

Why this answer is correct

The correct answer is D. \(5\cdot2^{n-1}\). The first term is (5) and the ratio is (2), so \(a_n=5\cdot2^{n-1}\). In the geometric rule, the exponent is (n-1).

Step 3

Exam Tip

पहला पद (5) और अनुपात (2) है, इसलिए \(a_n=5\cdot2^{n-1}\)। गुणोत्तर नियम में घात (n-1) होती है।

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Question 11/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=n^2+n\) है, तो \(a_7\) का मान क्या होगा?

If \(a_n=n^2+n\), what is the value of \(a_7\)?

Explanation opens after your attempt

Correct Answer

C. (56)

Step 1

Concept

\(a_7=7^2+7=56\). Do the square and addition in order.

Step 2

Why this answer is correct

The correct answer is C. (56). \(a_7=7^2+7=56\). Do the square and addition in order.

Step 3

Exam Tip

\(a_7=7^2+7=56\)। वर्ग और जोड़ को क्रम से करें।

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Question 12/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(10,7,4,1,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(10,7,4,1,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (13-3n)

Step 1

Concept

The first term is (10) and the difference is (-3), so (a_n=10+(n-1)(-3)=13-3n). In a decreasing progression the difference is negative.

Step 2

Why this answer is correct

The correct answer is A. (13-3n). The first term is (10) and the difference is (-3), so (a_n=10+(n-1)(-3)=13-3n). In a decreasing progression the difference is negative.

Step 3

Exam Tip

पहला पद (10) और अंतर (-3) है, इसलिए (a_n=10+(n-1)(-3)=13-3n)। घटती श्रेढ़ी में अंतर ऋणात्मक होता है।

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Question 13/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=25-2n\) है, तो \(a_{10}\) क्या होगा?

If \(a_n=25-2n\), what is \(a_{10}\)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

(a_{10}=25-2(10)=5). Be careful with subtraction in a decreasing rule.

Step 2

Why this answer is correct

The correct answer is B. (5). (a_{10}=25-2(10)=5). Be careful with subtraction in a decreasing rule.

Step 3

Exam Tip

(a_{10}=25-2(10)=5)। घटते नियम में घटाव सावधानी से करें।

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Question 14/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(2,5,10,17,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(2,5,10,17,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(n^2+1\)

Step 1

Concept

The terms are \(1^2+1,2^2+1,3^2+1,\ldots\), so \(a_n=n^2+1\). Recognize the square pattern.

Step 2

Why this answer is correct

The correct answer is A. \(n^2+1\). The terms are \(1^2+1,2^2+1,3^2+1,\ldots\), so \(a_n=n^2+1\). Recognize the square pattern.

Step 3

Exam Tip

पद \(1^2+1,2^2+1,3^2+1,\ldots\) के रूप में हैं, इसलिए \(a_n=n^2+1\)। वर्ग वाले पैटर्न को पहचानें।

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Question 15/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=6n+1\) है, तो \(a_9-a_4\) कितना होगा?

If \(a_n=6n+1\), what is \(a_9-a_4\)?

Explanation opens after your attempt

Correct Answer

C. (30)

Step 1

Concept

\(a_9=55\) and \(a_4=25\), so the difference is (30). Find both terms separately and subtract.

Step 2

Why this answer is correct

The correct answer is C. (30). \(a_9=55\) and \(a_4=25\), so the difference is (30). Find both terms separately and subtract.

Step 3

Exam Tip

\(a_9=55\) और \(a_4=25\), इसलिए अंतर (30) है। दोनों पद अलग निकालकर घटाएं।

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Question 16/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(3,12,48,\ldots\) का (5)वाँ पद क्या है?

What is the (5)th term of the geometric progression \(3,12,48,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (768)

Step 1

Concept

Here (r=4), so \(a_5=3\cdot4^4=768\). For the (5)th term, the ratio is used (4) times.

Step 2

Why this answer is correct

The correct answer is C. (768). Here (r=4), so \(a_5=3\cdot4^4=768\). For the (5)th term, the ratio is used (4) times.

Step 3

Exam Tip

यहाँ (r=4), इसलिए \(a_5=3\cdot4^4=768\)। (5)वें पद के लिए अनुपात (4) बार लगता है।

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Question 17/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(8,13,18,23,\ldots\) में कौन-सा पद (58) है?

In the sequence \(8,13,18,23,\ldots\), which term is (58)?

Explanation opens after your attempt

Correct Answer

C. (11)वाँ(11)th

Step 1

Concept

(a_n=8+(n-1)5=5n+3), so (5n+3=58) gives (n=11). Form the rule and set it equal to the given term.

Step 2

Why this answer is correct

The correct answer is C. (11)वाँ / (11)th. (a_n=8+(n-1)5=5n+3), so (5n+3=58) gives (n=11). Form the rule and set it equal to the given term.

Step 3

Exam Tip

(a_n=8+(n-1)5=5n+3), इसलिए (5n+3=58) से (n=11)। नियम बनाकर दिए पद के बराबर रखें।

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Question 18/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=2^n\) है, तो \(a_6\) क्या होगा?

If \(a_n=2^n\), what is \(a_6\)?

Explanation opens after your attempt

Correct Answer

C. (64)

Step 1

Concept

\(a_6=2^6=64\). In an exponential rule, keep the base and exponent correct.

Step 2

Why this answer is correct

The correct answer is C. (64). \(a_6=2^6=64\). In an exponential rule, keep the base and exponent correct.

Step 3

Exam Tip

\(a_6=2^6=64\)। घातांक वाले नियम में आधार और घात को सही रखें।

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Question 19/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(5,8,13,20,\ldots\) के लिए सही (n)वाँ पद कौन-सा है?

Which is the correct (n)th term for the sequence \(5,8,13,20,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(n^2+4\)

Step 1

Concept

The terms are \(1^2+4,2^2+4,3^2+4,\ldots\), so \(a_n=n^2+4\). Identify the square with the constant number.

Step 2

Why this answer is correct

The correct answer is A. \(n^2+4\). The terms are \(1^2+4,2^2+4,3^2+4,\ldots\), so \(a_n=n^2+4\). Identify the square with the constant number.

Step 3

Exam Tip

पद \(1^2+4,2^2+4,3^2+4,\ldots\) हैं, इसलिए \(a_n=n^2+4\)। वर्ग के साथ स्थिर संख्या पहचानें।

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Question 20/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=7n-5\) है, तो \(a_6+a_2\) का मान क्या है?

If \(a_n=7n-5\), what is the value of \(a_6+a_2\)?

Explanation opens after your attempt

Correct Answer

B. (44)

Step 1

Concept

\(a_6=37\) and \(a_2=9\), so the sum is (46). Find both terms separately for the correct sum.

Step 2

Why this answer is correct

The correct answer is B. (44). \(a_6=37\) and \(a_2=9\), so the sum is (46). Find both terms separately for the correct sum.

Step 3

Exam Tip

\(a_6=37\) और \(a_2=9\), इसलिए योग (46) है। सही योग के लिए दोनों पद अलग निकालें।

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Question 21/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(12,18,24,30,\ldots\) का (20)वाँ पद क्या है?

What is the (20)th term of the sequence \(12,18,24,30,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (126)

Step 1

Concept

(a_{20}=12+19(6)=126). Up to the (20)th term, (19) common differences are used.

Step 2

Why this answer is correct

The correct answer is B. (126). (a_{20}=12+19(6)=126). Up to the (20)th term, (19) common differences are used.

Step 3

Exam Tip

(a_{20}=12+19(6)=126)। (20)वें पद तक (19) समान अंतर लगते हैं।

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Question 22/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=3^n\) है, तो \(a_4\) क्या होगा?

If \(a_n=3^n\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (81)

Step 1

Concept

\(a_4=3^4=81\). Put (4) in place of (n) in the exponential term.

Step 2

Why this answer is correct

The correct answer is C. (81). \(a_4=3^4=81\). Put (4) in place of (n) in the exponential term.

Step 3

Exam Tip

\(a_4=3^4=81\)। घात वाले पद में (n) की जगह (4) रखें।

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Question 23/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(1,3,5,7,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(1,3,5,7,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (2n-1)

Step 1

Concept

This is the sequence of odd numbers, so \(a_n=2n-1\). Check by putting (n=1) for the first term.

Step 2

Why this answer is correct

The correct answer is C. (2n-1). This is the sequence of odd numbers, so \(a_n=2n-1\). Check by putting (n=1) for the first term.

Step 3

Exam Tip

यह विषम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n-1\)। पहले पद पर (n=1) रखकर जांचें।

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Question 24/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=4n^2-1\) है, तो \(a_4\) क्या होगा?

If \(a_n=4n^2-1\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

D. (63)

Step 1

Concept

(a_4=4(4)²-1=63). First square, then multiply and subtract.

Step 2

Why this answer is correct

The correct answer is D. (63). (a_4=4(4)²-1=63). First square, then multiply and subtract.

Step 3

Exam Tip

(a_4=4(4)²-1=63)। पहले वर्ग करें फिर गुणा और घटाव करें।

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Question 25/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(81,27,9,\ldots\) का (5)वाँ पद क्या है?

What is the (5)th term of the geometric progression \(81,27,9,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (1)

Step 1

Concept

The common ratio is \(\frac{1}{3}\), and the terms are (81,27,9,3,1). In a decreasing progression, keep multiplying by the ratio.

Step 2

Why this answer is correct

The correct answer is A. (1). The common ratio is \(\frac{1}{3}\), and the terms are (81,27,9,3,1). In a decreasing progression, keep multiplying by the ratio.

Step 3

Exam Tip

सार्व अनुपात \(\frac{1}{3}\) है और पद (81,27,9,3,1) हैं। घटती श्रेढ़ी में अनुपात से गुणा करते जाएं।

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Question 26/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(2,4,6,8,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(2,4,6,8,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (2n)

Step 1

Concept

This is the sequence of even numbers, so \(a_n=2n\). For (n=1), the first term should be (2).

Step 2

Why this answer is correct

The correct answer is B. (2n). This is the sequence of even numbers, so \(a_n=2n\). For (n=1), the first term should be (2).

Step 3

Exam Tip

यह सम संख्याओं का अनुक्रम है, इसलिए \(a_n=2n\)। (n=1) पर पहला पद (2) मिलना चाहिए।

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Question 27/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=10n-4\) है, तो \(a_{11}\) का मान क्या होगा?

If \(a_n=10n-4\), what is the value of \(a_{11}\)?

Explanation opens after your attempt

Correct Answer

C. (106)

Step 1

Concept

(a_{11}=10(11)-4=106). Substitute (11) for (n) and simplify.

Step 2

Why this answer is correct

The correct answer is C. (106). (a_{11}=10(11)-4=106). Substitute (11) for (n) and simplify.

Step 3

Exam Tip

(a_{11}=10(11)-4=106)। (n) के स्थान पर (11) रखकर सरल करें।

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Question 28/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(15,11,7,3,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(15,11,7,3,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (19-4n)

Step 1

Concept

The first term is (15) and the difference is (-4), so (a_n=15+(n-1)(-4)=19-4n). Pay attention to the sign in a decreasing sequence.

Step 2

Why this answer is correct

The correct answer is A. (19-4n). The first term is (15) and the difference is (-4), so (a_n=15+(n-1)(-4)=19-4n). Pay attention to the sign in a decreasing sequence.

Step 3

Exam Tip

पहला पद (15) और अंतर (-4) है, इसलिए (a_n=15+(n-1)(-4)=19-4n)। घटती श्रेढ़ी में चिह्न पर ध्यान दें।

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Question 29/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि (a_n=n(n+1)) है, तो \(a_6\) क्या होगा?

If (a_n=n(n+1)), what is \(a_6\)?

Explanation opens after your attempt

Correct Answer

C. (42)

Step 1

Concept

(a_6=6(7)=42). First find (n+1) inside the bracket.

Step 2

Why this answer is correct

The correct answer is C. (42). (a_6=6(7)=42). First find (n+1) inside the bracket.

Step 3

Exam Tip

(a_6=6(7)=42)। कोष्ठक में (n+1) को पहले निकालें।

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Question 30/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(4,20,100,\ldots\) का (4)वाँ पद क्या है?

What is the (4)th term of the geometric progression \(4,20,100,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (500)

Step 1

Concept

The common ratio is (5), so \(a_4=4\cdot5^3=500\). In a geometric term, the exponent of the ratio is (n-1).

Step 2

Why this answer is correct

The correct answer is B. (500). The common ratio is (5), so \(a_4=4\cdot5^3=500\). In a geometric term, the exponent of the ratio is (n-1).

Step 3

Exam Tip

सार्व अनुपात (5) है, इसलिए \(a_4=4\cdot5^3=500\)। गुणोत्तर पद में अनुपात की घात (n-1) होती है।

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Question 31/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=5n+6\) है, तो \(a_7\) और \(a_3\) का अंतर क्या है?

If \(a_n=5n+6\), what is the difference between \(a_7\) and \(a_3\)?

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

\(a_7=41\) and \(a_3=21\), so the difference is (20). Find the terms separately and subtract.

Step 2

Why this answer is correct

The correct answer is B. (20). \(a_7=41\) and \(a_3=21\), so the difference is (20). Find the terms separately and subtract.

Step 3

Exam Tip

\(a_7=41\) और \(a_3=21\), इसलिए अंतर (20) है। पदों को अलग निकालकर घटाएं।

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Question 32/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(4,7,12,19,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(4,7,12,19,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(n^2+3\)

Step 1

Concept

The terms are \(1^2+3,2^2+3,3^2+3,\ldots\), so \(a_n=n^2+3\). Identify the square plus a constant.

Step 2

Why this answer is correct

The correct answer is A. \(n^2+3\). The terms are \(1^2+3,2^2+3,3^2+3,\ldots\), so \(a_n=n^2+3\). Identify the square plus a constant.

Step 3

Exam Tip

पद \(1^2+3,2^2+3,3^2+3,\ldots\) हैं, इसलिए \(a_n=n^2+3\)। वर्ग के साथ स्थिर जोड़ पहचानें।

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Question 33/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=50-5n\) है, तो कौन-सा पद शून्य होगा?

If \(a_n=50-5n\), which term will be zero?

Explanation opens after your attempt

Correct Answer

C. (10)वाँ(10)th

Step 1

Concept

From (50-5n=0), (n=10). For a zero term, set \(a_n\) equal to (0).

Step 2

Why this answer is correct

The correct answer is C. (10)वाँ / (10)th. From (50-5n=0), (n=10). For a zero term, set \(a_n\) equal to (0).

Step 3

Exam Tip

(50-5n=0) से (n=10)। शून्य पद के लिए \(a_n\) को (0) के बराबर रखें।

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Question 34/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(9,18,36,72,\ldots\) में (288) कौन-सा पद है?

In the sequence \(9,18,36,72,\ldots\), which term is (288)?

Explanation opens after your attempt

Correct Answer

C. (6)वाँ(6)th

Step 1

Concept

The terms are (9,18,36,72,144,288), so (288) is the sixth term. For small questions, listing terms is quick.

Step 2

Why this answer is correct

The correct answer is C. (6)वाँ / (6)th. The terms are (9,18,36,72,144,288), so (288) is the sixth term. For small questions, listing terms is quick.

Step 3

Exam Tip

पद (9,18,36,72,144,288) हैं, इसलिए (288) छठा पद है। छोटे प्रश्नों में पद क्रम से लिखना तेज है।

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Question 35/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=\frac{n(n+1)}{2}\) है, तो \(a_8\) क्या होगा?

If \(a_n=\frac{n(n+1)}{2}\), what is \(a_8\)?

Explanation opens after your attempt

Correct Answer

C. (36)

Step 1

Concept

\(a_8=\frac{8\cdot9}{2}=36\). Multiply or simplify before dividing.

Step 2

Why this answer is correct

The correct answer is C. (36). \(a_8=\frac{8\cdot9}{2}=36\). Multiply or simplify before dividing.

Step 3

Exam Tip

\(a_8=\frac{8\cdot9}{2}=36\)। भाग देने से पहले गुणा करें या सरल करें।

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Question 36/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(20,17,14,11,\ldots\) का (8)वाँ पद क्या है?

What is the (8)th term of the sequence \(20,17,14,11,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (-1)

Step 1

Concept

(a_8=20+7(-3)=-1). In a decreasing sequence, take the common difference as negative.

Step 2

Why this answer is correct

The correct answer is A. (-1). (a_8=20+7(-3)=-1). In a decreasing sequence, take the common difference as negative.

Step 3

Exam Tip

(a_8=20+7(-3)=-1)। घटती श्रेढ़ी में समान अंतर ऋणात्मक लें।

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Question 37/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=3n^2-2n\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=3n^2-2n\), what is the value of \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (40)

Step 1

Concept

(a_4=3(4)²-2(4)=40). Square first, then multiply and subtract.

Step 2

Why this answer is correct

The correct answer is C. (40). (a_4=3(4)²-2(4)=40). Square first, then multiply and subtract.

Step 3

Exam Tip

(a_4=3(4)²-2(4)=40)। पहले वर्ग करें, फिर गुणा और घटाव करें।

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Question 38/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(2,6,12,20,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(2,6,12,20,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(n^2+n\)

Step 1

Concept

The terms are \(1\cdot2,2\cdot3,3\cdot4,\ldots\), so (a_n=n(n+1)=n^-2+n). Identify the product pattern.

Step 2

Why this answer is correct

The correct answer is A. \(n^2+n\). The terms are \(1\cdot2,2\cdot3,3\cdot4,\ldots\), so (a_n=n(n+1)=n^-2+n). Identify the product pattern.

Step 3

Exam Tip

पद \(1\cdot2,2\cdot3,3\cdot4,\ldots\) हैं, इसलिए (a_n=n(n+1)=n^-2+n)। गुणन पैटर्न पहचानें।

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Question 39/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=2n+9\) है, तो \(a_n=35\) के लिए (n) क्या होगा?

If \(a_n=2n+9\), what is (n) for \(a_n=35\)?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

From (2n+9=35), (2n=26) and (n=13). Solve the equation to find the position of the term.

Step 2

Why this answer is correct

The correct answer is C. (13). From (2n+9=35), (2n=26) and (n=13). Solve the equation to find the position of the term.

Step 3

Exam Tip

(2n+9=35) से (2n=26) और (n=13)। पद की स्थिति निकालने के लिए समीकरण हल करें।

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Question 40/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(64,32,16,\ldots\) का (6)वाँ पद क्या है?

What is the (6)th term of the geometric progression \(64,32,16,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The terms are (64,32,16,8,4,2), so the (6)th term is (2). In a decreasing geometric progression, keep halving.

Step 2

Why this answer is correct

The correct answer is B. (2). The terms are (64,32,16,8,4,2), so the (6)th term is (2). In a decreasing geometric progression, keep halving.

Step 3

Exam Tip

पद (64,32,16,8,4,2) हैं, इसलिए (6)वाँ पद (2) है। घटती गुणोत्तर श्रेढ़ी में आधा करते जाएं।

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Question 41/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(7,14,21,28,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(7,14,21,28,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (7n)

Step 1

Concept

This is the sequence of multiples of (7), so \(a_n=7n\). For (n=1), the first term should be (7).

Step 2

Why this answer is correct

The correct answer is A. (7n). This is the sequence of multiples of (7), so \(a_n=7n\). For (n=1), the first term should be (7).

Step 3

Exam Tip

यह (7) के गुणजों का अनुक्रम है, इसलिए \(a_n=7n\)। (n=1) पर पहला पद (7) मिलना चाहिए।

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Question 42/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=9-4n\) है, तो \(a_5\) क्या होगा?

If \(a_n=9-4n\), what is \(a_5\)?

Explanation opens after your attempt

Correct Answer

B. (-11)

Step 1

Concept

(a_5=9-4(5)=-11). Do not worry if subtraction gives a negative answer.

Step 2

Why this answer is correct

The correct answer is B. (-11). (a_5=9-4(5)=-11). Do not worry if subtraction gives a negative answer.

Step 3

Exam Tip

(a_5=9-4(5)=-11)। घटाव करते समय ऋणात्मक उत्तर से न डरें।

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Question 43/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(3,8,15,24,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(3,8,15,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. \(n^2+2\)

Step 1

Concept

The rule \(n^2+2n\) gives (3,8,15,24). Choose the option that matches all first terms.

Step 2

Why this answer is correct

The correct answer is B. \(n^2+2\). The rule \(n^2+2n\) gives (3,8,15,24). Choose the option that matches all first terms.

Step 3

Exam Tip

पद \(1^2+2,2^2+4\) नहीं; सही पैटर्न \(n^2+2n\) से (3,8,15,24) मिलता है। विकल्प में \(n^2+2n\) चुनें।

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Question 44/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=2\cdot5^{n-1}\) है, तो \(a_4\) क्या होगा?

If \(a_n=2\cdot5^{n-1}\), what is \(a_4\)?

Explanation opens after your attempt

Correct Answer

C. (250)

Step 1

Concept

\(a_4=2\cdot5^3=250\). In a geometric rule, the exponent is (n-1).

Step 2

Why this answer is correct

The correct answer is C. (250). \(a_4=2\cdot5^3=250\). In a geometric rule, the exponent is (n-1).

Step 3

Exam Tip

\(a_4=2\cdot5^3=250\)। गुणोत्तर नियम में घात (n-1) होती है।

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Question 45/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(11,15,19,23,\ldots\) में \(a_n=63\) के लिए (n) क्या है?

In the sequence \(11,15,19,23,\ldots\), what is (n) for \(a_n=63\)?

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

(a_n=11+(n-1)4=4n+7), so (4n+7=63) gives (n=14). Set the rule equal to the given term.

Step 2

Why this answer is correct

The correct answer is C. (14). (a_n=11+(n-1)4=4n+7), so (4n+7=63) gives (n=14). Set the rule equal to the given term.

Step 3

Exam Tip

(a_n=11+(n-1)4=4n+7), इसलिए (4n+7=63) से (n=14)। नियम को दिए पद के बराबर रखें।

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Question 46/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=n^2-1\) है, तो \(a_9\) का मान क्या होगा?

If \(a_n=n^2-1\), what is the value of \(a_9\)?

Explanation opens after your attempt

Correct Answer

B. (80)

Step 1

Concept

\(a_9=9^2-1=80\). First square and then subtract (1).

Step 2

Why this answer is correct

The correct answer is B. (80). \(a_9=9^2-1=80\). First square and then subtract (1).

Step 3

Exam Tip

\(a_9=9^2-1=80\)। पहले वर्ग करें फिर (1) घटाएं।

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Question 47/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

गुणोत्तर श्रेढ़ी \(1,4,16,\ldots\) में (1024) कौन-सा पद है?

In the geometric progression \(1,4,16,\ldots\), which term is (1024)?

Explanation opens after your attempt

Correct Answer

B. (6)वाँ(6)th

Step 1

Concept

The terms are (1,4,16,64,256,1024), so (1024) is the sixth term. Identify the powers in order.

Step 2

Why this answer is correct

The correct answer is B. (6)वाँ / (6)th. The terms are (1,4,16,64,256,1024), so (1024) is the sixth term. Identify the powers in order.

Step 3

Exam Tip

पद (1,4,16,64,256,1024) हैं, इसलिए (1024) छठा पद है। घातों को क्रम से पहचानें।

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Question 48/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(5,15,25,35,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(5,15,25,35,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. (10n-5)

Step 1

Concept

The first term is (5) and the difference is (10), so (a_n=5+(n-1)10=10n-5). Check by putting (n=1).

Step 2

Why this answer is correct

The correct answer is A. (10n-5). The first term is (5) and the difference is (10), so (a_n=5+(n-1)10=10n-5). Check by putting (n=1).

Step 3

Exam Tip

पहला पद (5) और अंतर (10) है, इसलिए (a_n=5+(n-1)10=10n-5)। पहले पद पर (n=1) रखकर जांचें।

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Question 49/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

यदि \(a_n=\frac{3n+1}{2}\) है, तो \(a_7\) क्या होगा?

If \(a_n=\frac{3n+1}{2}\), what is \(a_7\)?

Explanation opens after your attempt

Correct Answer

B. (11)

Step 1

Concept

(a_7=\frac{3(7)+1}{2}=11). First simplify the numerator and then divide by (2).

Step 2

Why this answer is correct

The correct answer is B. (11). (a_7=\frac{3(7)+1}{2}=11). First simplify the numerator and then divide by (2).

Step 3

Exam Tip

(a_7=\frac{3(7)+1}{2}=11)। पहले अंश को सरल करें फिर (2) से भाग दें।

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Question 50/50 Medium Mathematics Sequences and Progressions nth term Class 9 Level 56

अनुक्रम \(2,8,18,32,\ldots\) का (n)वाँ पद कौन-सा है?

What is the (n)th term of the sequence \(2,8,18,32,\ldots\)?

Explanation opens after your attempt

Correct Answer

A. \(2n^2\)

Step 1

Concept

The terms are (2(1)²,2(2)²,2(3)²,\ldots), so \(a_n=2n^2\). Identify both the square and the multiplier.

Step 2

Why this answer is correct

The correct answer is A. \(2n^2\). The terms are (2(1)²,2(2)²,2(3)²,\ldots), so \(a_n=2n^2\). Identify both the square and the multiplier.

Step 3

Exam Tip

पद (2(1)²,2(2)²,2(3)²,\ldots) हैं, इसलिए \(a_n=2n^2\)। वर्ग और गुणक दोनों पहचानें।

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Class 9 Mathematics Medium Quiz

अनुक्रम \(4,9,14,19,\ldots\) का (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=3n+2\) है, तो \(a_8\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

समानांतर श्रेढ़ी में पहला पद (7) और समान अंतर (4) है। (12)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

गुणोत्तर श्रेढ़ी \(2,6,18,\ldots\) का (6)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(1,4,9,16,\ldots\) का (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=2n^2+1\) है, तो \(a_5\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(6,11,16,21,\ldots\) में \(a_n=46\) के लिए (n) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=4n-3\) है, तो कौन-सा पद (45) के बराबर होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(3,7,11,15,\ldots\) का (15)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

गुणोत्तर श्रेढ़ी \(5,10,20,\ldots\) का (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=n^2+n\) है, तो \(a_7\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(10,7,4,1,\ldots\) का (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=25-2n\) है, तो \(a_{10}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(2,5,10,17,\ldots\) का (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=6n+1\) है, तो \(a_9-a_4\) कितना होगा?

Concept

Why this answer is correct

Exam Tip

गुणोत्तर श्रेढ़ी \(3,12,48,\ldots\) का (5)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(8,13,18,23,\ldots\) में कौन-सा पद (58) है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=2^n\) है, तो \(a_6\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

अनुक्रम \(5,8,13,20,\ldots\) के लिए सही (n)वाँ पद कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=7n-5\) है, तो \(a_6+a_2\) का मान क्या है?

Concept

Why this answer is correct