Class 9 Mathematics - Sequences and Progressions - Explicit or general rule Medium Quiz

Mathematics Sequences and Progressions Explicit or general rule Medium Class 9 Level 43

Level 43 • 13/50 questions • 35 seconds per question.

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This level needs 37 more active questions. Admin panel me same class, subject, difficulty aur level_no 43 par question add karein.
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Question 1/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_n=5n-2\) है, तो \(a_9\) का मान क्या होगा?

If \(a_n=5n-2\), what will be the value of \(a_9\)?

Explanation opens after your attempt
Correct Answer

D. (43)

Step 1

Concept

Putting (n=9), (a_9=5(9)-2=43). Substitute the correct value of (n) in the rule.

Step 2

Why this answer is correct

The correct answer is D. (43). Putting (n=9), (a_9=5(9)-2=43). Substitute the correct value of (n) in the rule.

Step 3

Exam Tip

(n=9) रखने पर (a_9=5(9)-2=43) है। नियम में (n) का सही मान रखें।

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Question 2/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_n=2n^2+3\) है, तो \(a_6\) क्या होगा?

If \(a_n=2n^2+3\), what is \(a_6\)?

Explanation opens after your attempt
Correct Answer

A. (75)

Step 1

Concept

Putting (n=6), (a_6=2\(6^2\)+3=75). Square first, then multiply and add.

Step 2

Why this answer is correct

The correct answer is A. (75). Putting (n=6), (a_6=2\(6^2\)+3=75). Square first, then multiply and add.

Step 3

Exam Tip

(n=6) रखने पर (a_6=2\(6^2\)+3=75) है। पहले वर्ग निकालें, फिर गुणा और जोड़ करें।

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Question 3/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि किसी क्रम के पहले चार पद (5,12,19,26) हैं, तो \(a_n\) का सरल नियम क्या हो सकता है?

If the first four terms of a sequence are (5,12,19,26), what can be a simple rule for \(a_n\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=7n-2\)

Step 1

Concept

The first term is (5) and the difference is (7). \(a_n=7n-2\) gives the same sequence.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=7n-2\). The first term is (5) and the difference is (7). \(a_n=7n-2\) gives the same sequence.

Step 3

Exam Tip

पहला पद (5) और अंतर (7) है। \(a_n=7n-2\) से वही क्रम मिलता है।

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Question 4/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(8,18,28,38,\ldots\) के लिए सही \(a_n\) नियम कौन सा है?

Which \(a_n\) rule is correct for \(8,18,28,38,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=10n-2\)

Step 1

Concept

The first term is (8) and the difference is (10). \(a_n=10n-2\) gives \(8,18,28,\ldots\).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=10n-2\). The first term is (8) and the difference is (10). \(a_n=10n-2\) gives \(8,18,28,\ldots\).

Step 3

Exam Tip

पहला पद (8) और अंतर (10) है। \(a_n=10n-2\) से \(8,18,28,\ldots\) मिलते हैं।

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Question 5/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=n^2+4n\) से \(a_6\) क्या होगा?

What will \(a_6\) be for the rule \(a_n=n^2+4n\)?

Explanation opens after your attempt
Correct Answer

C. (60)

Step 1

Concept

Putting (n=6), (a_6=62+4(6)=60). Handle both the square and multiplication carefully.

Step 2

Why this answer is correct

The correct answer is C. (60). Putting (n=6), (a_6=62+4(6)=60). Handle both the square and multiplication carefully.

Step 3

Exam Tip

(n=6) रखने पर (a_6=62+4(6)=60) है। वर्ग और गुणा दोनों सावधानी से करें।

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Question 6/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

नियम \(a_n=90-7n\) से बनने वाला पाँचवाँ पद क्या है?

What is the fifth term formed by \(a_n=90-7n\)?

Explanation opens after your attempt
Correct Answer

C. (55)

Step 1

Concept

Putting (n=5), \(a_5=90-35=55\). Pay attention to the sign in subtraction rules.

Step 2

Why this answer is correct

The correct answer is C. (55). Putting (n=5), \(a_5=90-35=55\). Pay attention to the sign in subtraction rules.

Step 3

Exam Tip

(n=5) रखने पर \(a_5=90-35=55\) है। घटाव वाले नियम में चिन्ह पर ध्यान दें।

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Question 7/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

कौन सा क्रम \(a_n=5n^2\) से बनता है?

Which sequence is formed by \(a_n=5n^2\)?

Explanation opens after your attempt
Correct Answer

B. (5,20,45,80)

Step 1

Concept

Putting (n=1,2,3,4) gives (5,20,45,80). Multiply \(n^2\) by (5).

Step 2

Why this answer is correct

The correct answer is B. (5,20,45,80). Putting (n=1,2,3,4) gives (5,20,45,80). Multiply \(n^2\) by (5).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (5,20,45,80) मिलते हैं। \(n^2\) को (5) से गुणा करें।

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Question 8/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=11\) और हर अगले पद में (6) जोड़ा जाता है, तो \(a_8\) क्या होगा?

If \(a_1=11\) and (6) is added to each next term, what is \(a_8\)?

Explanation opens after your attempt
Correct Answer

D. (53)

Step 1

Concept

\(a_8=11+7\times6=53\). To reach the (8)th term, the difference is added (7) times.

Step 2

Why this answer is correct

The correct answer is D. (53). \(a_8=11+7\times6=53\). To reach the (8)th term, the difference is added (7) times.

Step 3

Exam Tip

\(a_8=11+7\times6=53\) है। (8)वें पद तक पहुँचने के लिए (7) बार अंतर जोड़ा जाता है।

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Question 9/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

यदि \(a_1=96\) और हर अगले पद में (9) घटाया जाता है, तो \(a_7\) क्या होगा?

If \(a_1=96\) and (9) is subtracted for each next term, what is \(a_7\)?

Explanation opens after your attempt
Correct Answer

B. (42)

Step 1

Concept

\(a_7=96-6\times9=42\). There are (6) subtractions before the (7)th term.

Step 2

Why this answer is correct

The correct answer is B. (42). \(a_7=96-6\times9=42\). There are (6) subtractions before the (7)th term.

Step 3

Exam Tip

\(a_7=96-6\times9=42\) है। (7)वें पद तक (6) बार घटाव होगा।

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Question 10/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(4,13,40,121,\ldots\) में अगला पद क्या है यदि नियम पिछले पद का (3) गुना करके (1) जोड़ना है?

What is the next term in \(4,13,40,121,\ldots\) if the rule is triple the previous term and add (1)?

Explanation opens after your attempt
Correct Answer

B. (364)

Step 1

Concept

By the rule, \(121\times3+1=364\). Apply the given rule to the last term.

Step 2

Why this answer is correct

The correct answer is B. (364). By the rule, \(121\times3+1=364\). Apply the given rule to the last term.

Step 3

Exam Tip

नियम के अनुसार \(121\times3+1=364\) है। अंतिम पद पर दिया गया नियम लगाएँ।

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Question 11/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(96,47,22.5,10.25,\ldots\) में अगला पद क्या है यदि नियम पिछले पद को (2) से भाग देकर (1) घटाना है?

What is the next term in \(96,47,22.5,10.25,\ldots\) if the rule is divide the previous term by (2) and subtract (1)?

Explanation opens after your attempt
Correct Answer

B. (4.125)

Step 1

Concept

\(10.25\div2-1=4.125\). Divide first and then subtract (1).

Step 2

Why this answer is correct

The correct answer is B. (4.125). \(10.25\div2-1=4.125\). Divide first and then subtract (1).

Step 3

Exam Tip

\(10.25\div2-1=4.125\) है। पहले भाग दें और फिर (1) घटाएँ।

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Question 12/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(14,19,24,\ldots\) के (n)वें पद के लिए सही कथन कौन सा है?

Which statement is correct for the (n)th term of \(14,19,24,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. यह (5n+9) हैIt is (5n+9)

Step 1

Concept

At (n=1), (5(1)+9=14), and the difference is (5). So the correct rule is (5n+9).

Step 2

Why this answer is correct

The correct answer is A. यह (5n+9) है / It is (5n+9). At (n=1), (5(1)+9=14), and the difference is (5). So the correct rule is (5n+9).

Step 3

Exam Tip

(n=1) पर (5(1)+9=14) और अंतर (5) मिलता है। इसलिए सही नियम (5n+9) है।

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Question 13/13 Medium Mathematics Sequences and Progressions Sequences Class 9 Level 43

क्रम \(84,76,68,\ldots\) के (n)वें पद का सही नियम कौन सा है?

Which is the correct rule for the (n)th term of \(84,76,68,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=92-8n\)

Step 1

Concept

Putting (n=1) gives (92-8=84). This rule decreases by (8) each time.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=92-8n\). Putting (n=1) gives (92-8=84). This rule decreases by (8) each time.

Step 3

Exam Tip

(n=1) रखने पर (92-8=84) मिलता है। यह हर बार (8) घटाने वाला नियम है।

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