Class 9 Mathematics - Exploring Algebraic Identities - Visual models of identities Easy Quiz

Level 51 • 50/50 questions • 40 seconds per question.

Level readiness 50/50 Questions
Time Left 33:20 40 sec/question
RewardsCoins + XP
ModeClassic Quiz
Share
Question 1 / 50 0 score
Answered 0/50 Correct 0 Time 33:20

अनुक्रम \(4,8,12,16,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(4,8,12,16,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=4n\)

Step 1

Concept

Each term is a multiple of (4), so \(a_n=4n\). In exams, check multiple-based sequences using (kn).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=4n\). Each term is a multiple of (4), so \(a_n=4n\). In exams, check multiple-based sequences using (kn).

Step 3

Exam Tip

हर पद (4) का गुणज है, इसलिए \(a_n=4n\) है। परीक्षा में गुणज वाले अनुक्रमों को (kn) से जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=6n+2\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=6n+2\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (20)

Step 1

Concept

\(a_3=6\times3+2=20\). In exams, multiply first and then add the constant.

Step 2

Why this answer is correct

The correct answer is B. (20). \(a_3=6\times3+2=20\). In exams, multiply first and then add the constant.

Step 3

Exam Tip

\(a_3=6\times3+2=20\) है। परीक्षा में पहले गुणा करें और फिर स्थिर संख्या जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(11,22,33,44,\ldots\) के लिए सही स्पष्ट नियम कौन-सा है?

Which explicit rule is correct for the sequence \(11,22,33,44,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_n=11n\)

Step 1

Concept

Each term is a multiple of (11), so \(a_n=11n\) is correct. In exams, identify equal multiples directly.

Step 2

Why this answer is correct

The correct answer is C. \(a_n=11n\). Each term is a multiple of (11), so \(a_n=11n\) is correct. In exams, identify equal multiples directly.

Step 3

Exam Tip

हर पद (11) का गुणज है, इसलिए \(a_n=11n\) सही है। परीक्षा में समान गुणजों को सीधे पहचानें।

Open Question Page
Ask Friends

यदि \(a_n=9n-4\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=9n-4\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (32)

Step 1

Concept

\(a_4=9\times4-4=32\). In exams, subtract only after multiplying.

Step 2

Why this answer is correct

The correct answer is C. (32). \(a_4=9\times4-4=32\). In exams, subtract only after multiplying.

Step 3

Exam Tip

\(a_4=9\times4-4=32\) है। परीक्षा में गुणा के बाद घटाव करें।

Open Question Page
Ask Friends

अनुक्रम \(3,8,13,18,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(3,8,13,18,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=5n-2\)

Step 1

Concept

The first term is (3) and the difference is (5), so \(a_n=5n-2\). In exams, take the difference as the coefficient of (n).

Step 2

Why this answer is correct

The correct answer is A. \(a_n=5n-2\). The first term is (3) and the difference is (5), so \(a_n=5n-2\). In exams, take the difference as the coefficient of (n).

Step 3

Exam Tip

पहला पद (3) और अंतर (5) है, इसलिए \(a_n=5n-2\) है। परीक्षा में अंतर को (n) का गुणांक मानें।

Open Question Page
Ask Friends

यदि \(a_n=n^2+3\) है, तो \(a_5\) का मान क्या होगा?

If \(a_n=n^2+3\), what is the value of \(a_5\)?

Explanation opens after your attempt
Correct Answer

D. (28)

Step 1

Concept

\(a_5=5^2+3=28\). In exams, find the square first and then add (3).

Step 2

Why this answer is correct

The correct answer is D. (28). \(a_5=5^2+3=28\). In exams, find the square first and then add (3).

Step 3

Exam Tip

\(a_5=5^2+3=28\) है। परीक्षा में पहले वर्ग निकालें और फिर (3) जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(4,7,12,19,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(4,7,12,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=n^2+3\)

Step 1

Concept

Using \(n^2+3\) gives (4,7,12,19). In exams, test options by putting (n=1,2,3).

Step 2

Why this answer is correct

The correct answer is B. \(a_n=n^2+3\). Using \(n^2+3\) gives (4,7,12,19). In exams, test options by putting (n=1,2,3).

Step 3

Exam Tip

\(n^2+3\) रखने पर (4,7,12,19) मिलते हैं। परीक्षा में विकल्पों में (n=1,2,3) रखकर जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=14-3n\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=14-3n\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

\(a_3=14-9=5\). In exams, subtract (3n) correctly in a decreasing formula.

Step 2

Why this answer is correct

The correct answer is B. (5). \(a_3=14-9=5\). In exams, subtract (3n) correctly in a decreasing formula.

Step 3

Exam Tip

\(a_3=14-9=5\) है। परीक्षा में घटते सूत्र में (3n) को सही घटाएँ।

Open Question Page
Ask Friends

अनुक्रम \(11,8,5,2,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(11,8,5,2,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=14-3n\)

Step 1

Concept

At (n=1) it gives (11), and at (n=2) it gives (8), so \(a_n=14-3n\). In exams, treat a decreasing difference as negative.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=14-3n\). At (n=1) it gives (11), and at (n=2) it gives (8), so \(a_n=14-3n\). In exams, treat a decreasing difference as negative.

Step 3

Exam Tip

(n=1) पर (11) और (n=2) पर (8) मिलता है, इसलिए \(a_n=14-3n\) है। परीक्षा में घटते अंतर को ऋणात्मक समझें।

Open Question Page
Ask Friends

यदि \(a_n=5^n\) है, तो \(a_2\) का मान क्या होगा?

If \(a_n=5^n\), what is the value of \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (25)

Step 1

Concept

\(a_2=5^2=25\). In exams, identify the base and exponent separately.

Step 2

Why this answer is correct

The correct answer is C. (25). \(a_2=5^2=25\). In exams, identify the base and exponent separately.

Step 3

Exam Tip

\(a_2=5^2=25\) है। परीक्षा में आधार और घातांक को अलग पहचानें।

Open Question Page
Ask Friends

अनुक्रम \(5,25,125,625,\ldots\) के लिए सही नियम कौन-सा है?

Which rule is correct for the sequence \(5,25,125,625,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=5^n\)

Step 1

Concept

These terms are consecutive powers of (5). In exams, check \(5^n\) when you see (5,25,125).

Step 2

Why this answer is correct

The correct answer is B. \(a_n=5^n\). These terms are consecutive powers of (5). In exams, check \(5^n\) when you see (5,25,125).

Step 3

Exam Tip

ये पद (5) की क्रमिक घातें हैं। परीक्षा में (5,25,125) देखकर \(5^n\) जाँचें।

Open Question Page
Ask Friends

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

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

Explanation opens after your attempt
Correct Answer

C. (48)

Step 1

Concept

\(a_4=3\times4^2=48\). In exams, square first and then multiply by (3).

Step 2

Why this answer is correct

The correct answer is C. (48). \(a_4=3\times4^2=48\). In exams, square first and then multiply by (3).

Step 3

Exam Tip

\(a_4=3\times4^2=48\) है। परीक्षा में वर्ग निकालकर (3) से गुणा करें।

Open Question Page
Ask Friends

अनुक्रम \(3,12,27,48,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(3,12,27,48,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=3n^2\)

Step 1

Concept

These terms come from \(3n^2\). In exams, test the square-based rule on the first three terms.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=3n^2\). These terms come from \(3n^2\). In exams, test the square-based rule on the first three terms.

Step 3

Exam Tip

ये पद \(3n^2\) से मिलते हैं। परीक्षा में वर्ग आधारित नियम को पहले तीन पदों पर जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=\frac{3n}{2}\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=\frac{3n}{2}\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

\(a_4=\frac{3\times4}{2}=6\). In exams, simplify the fraction before answering.

Step 2

Why this answer is correct

The correct answer is C. (6). \(a_4=\frac{3\times4}{2}=6\). In exams, simplify the fraction before answering.

Step 3

Exam Tip

\(a_4=\frac{3\times4}{2}=6\) है। परीक्षा में भिन्न को सरल करके उत्तर दें।

Open Question Page
Ask Friends

अनुक्रम \(\frac{3}{2},3,\frac{9}{2},6,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(\frac{3}{2},3,\frac{9}{2},6,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=\frac{3n}{2}\)

Step 1

Concept

Each term is the next multiple of \(\frac{3}{2}\). In exams, write fractional multiples as (kn).

Step 2

Why this answer is correct

The correct answer is B. \(a_n=\frac{3n}{2}\). Each term is the next multiple of \(\frac{3}{2}\). In exams, write fractional multiples as (kn).

Step 3

Exam Tip

हर पद \(\frac{3}{2}\) का अगला गुणज है। परीक्षा में भिन्न गुणजों को (kn) के रूप में लिखें।

Open Question Page
Ask Friends

यदि \(a_n=2n-3\) है, तो कौन-सा पद (15) के बराबर होगा?

If \(a_n=2n-3\), which term will be equal to (15)?

Explanation opens after your attempt
Correct Answer

C. (n=9)

Step 1

Concept

From (2n-3=15), we get (n=9). In exams, equate the formula to the given value when term number is asked.

Step 2

Why this answer is correct

The correct answer is C. (n=9). From (2n-3=15), we get (n=9). In exams, equate the formula to the given value when term number is asked.

Step 3

Exam Tip

(2n-3=15) से (n=9) मिलता है। परीक्षा में पद संख्या पूछी जाए तो सूत्र को दिए मान के बराबर रखें।

Open Question Page
Ask Friends

अनुक्रम \(-1,1,3,5,\ldots\) में (15) कौन-सा पद है?

In the sequence \(-1,1,3,5,\ldots\), which term is (15)?

Explanation opens after your attempt
Correct Answer

C. नौवाँ पद(9)th term

Step 1

Concept

Its rule is \(a_n=2n-3\), and (2n-3=15) gives (n=9). In exams, form the general term first to find the term number.

Step 2

Why this answer is correct

The correct answer is C. नौवाँ पद / (9)th term. Its rule is \(a_n=2n-3\), and (2n-3=15) gives (n=9). In exams, form the general term first to find the term number.

Step 3

Exam Tip

इसका नियम \(a_n=2n-3\) है और (2n-3=15) से (n=9) है। परीक्षा में पहले सामान्य पद बनाकर पद संख्या निकालें।

Open Question Page
Ask Friends

यदि \(a_n=n^3\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=n^3\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (27)

Step 1

Concept

\(a_3=3^3=27\). In exams, multiply the number three times when finding a cube.

Step 2

Why this answer is correct

The correct answer is C. (27). \(a_3=3^3=27\). In exams, multiply the number three times when finding a cube.

Step 3

Exam Tip

\(a_3=3^3=27\) है। परीक्षा में घन निकालते समय संख्या को तीन बार गुणा करें।

Open Question Page
Ask Friends

अनुक्रम \(1,8,27,64,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(1,8,27,64,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=n^3\)

Step 1

Concept

These are perfect cubes, so \(a_n=n^3\). In exams, recognize (1,8,27,64) as cube numbers.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=n^3\). These are perfect cubes, so \(a_n=n^3\). In exams, recognize (1,8,27,64) as cube numbers.

Step 3

Exam Tip

ये पूर्ण घन हैं, इसलिए \(a_n=n^3\) है। परीक्षा में (1,8,27,64) को घन संख्याओं के रूप में पहचानें।

Open Question Page
Ask Friends

यदि \(a_n=n^3+1\) है, तो \(a_2\) का मान क्या होगा?

If \(a_n=n^3+1\), what is the value of \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (9)

Step 1

Concept

\(a_2=2^3+1=9\). In exams, find the cube first and then add (1).

Step 2

Why this answer is correct

The correct answer is C. (9). \(a_2=2^3+1=9\). In exams, find the cube first and then add (1).

Step 3

Exam Tip

\(a_2=2^3+1=9\) है। परीक्षा में पहले घन निकालें और फिर (1) जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(2,9,28,65,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(2,9,28,65,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=n^3+1\)

Step 1

Concept

The terms come from \(n^3+1\). In exams, check options using (n=1,2,3).

Step 2

Why this answer is correct

The correct answer is B. \(a_n=n^3+1\). The terms come from \(n^3+1\). In exams, check options using (n=1,2,3).

Step 3

Exam Tip

ये पद \(n^3+1\) से मिलते हैं। परीक्षा में (n=1,2,3) रखकर विकल्प जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=20-4n\) है, तो \(a_4\) का मान क्या होगा?

If \(a_n=20-4n\), what is the value of \(a_4\)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(a_4=20-16=4\). In exams, calculate (4n) and subtract it.

Step 2

Why this answer is correct

The correct answer is B. (4). \(a_4=20-16=4\). In exams, calculate (4n) and subtract it.

Step 3

Exam Tip

\(a_4=20-16=4\) है। परीक्षा में (4n) निकालकर उसे घटाएँ।

Open Question Page
Ask Friends

अनुक्रम \(16,12,8,4,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(16,12,8,4,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=20-4n\)

Step 1

Concept

At (n=1) it gives (16), and at (n=2) it gives (12), so \(a_n=20-4n\). In exams, check the rule with the first term in a decreasing sequence.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=20-4n\). At (n=1) it gives (16), and at (n=2) it gives (12), so \(a_n=20-4n\). In exams, check the rule with the first term in a decreasing sequence.

Step 3

Exam Tip

(n=1) पर (16) और (n=2) पर (12) मिलता है, इसलिए \(a_n=20-4n\) है। परीक्षा में घटते अनुक्रम में पहला पद मिलाकर नियम जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=7n+1\) है, तो \(a_5\) का मान क्या होगा?

If \(a_n=7n+1\), what is the value of \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (36)

Step 1

Concept

\(a_5=7\times5+1=36\). In exams, add the constant at the end.

Step 2

Why this answer is correct

The correct answer is C. (36). \(a_5=7\times5+1=36\). In exams, add the constant at the end.

Step 3

Exam Tip

\(a_5=7\times5+1=36\) है। परीक्षा में स्थिर संख्या को अंत में जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(8,15,22,29,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(8,15,22,29,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=7n+1\)

Step 1

Concept

The first term is (8) and the difference is (7), so \(a_n=7n+1\). In exams, find the constant part from the first term.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=7n+1\). The first term is (8) and the difference is (7), so \(a_n=7n+1\). In exams, find the constant part from the first term.

Step 3

Exam Tip

पहला पद (8) और अंतर (7) है, इसलिए \(a_n=7n+1\) है। परीक्षा में पहले पद से स्थिर भाग निकालें।

Open Question Page
Ask Friends

यदि (a_n=\frac{n(n-1)}{2}) है, तो \(a_5\) का मान क्या होगा?

If (a_n=\frac{n(n-1)}{2}), what is the value of \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

\(a_5=\frac{5\times4}{2}=10\). In exams, multiply first and then divide by (2).

Step 2

Why this answer is correct

The correct answer is B. (10). \(a_5=\frac{5\times4}{2}=10\). In exams, multiply first and then divide by (2).

Step 3

Exam Tip

\(a_5=\frac{5\times4}{2}=10\) है। परीक्षा में पहले गुणन करें और फिर (2) से भाग दें।

Open Question Page
Ask Friends

अनुक्रम \(0,1,3,6,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(0,1,3,6,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. (a_n=\frac{n(n-1)}{2})

Step 1

Concept

Putting (n=1,2,3,4) gives (0,1,3,6). In exams, test triangular-number-like options with small (n).

Step 2

Why this answer is correct

The correct answer is B. (a_n=\frac{n(n-1)}{2}). Putting (n=1,2,3,4) gives (0,1,3,6). In exams, test triangular-number-like options with small (n).

Step 3

Exam Tip

(n=1,2,3,4) रखने पर (0,1,3,6) मिलते हैं। परीक्षा में त्रिभुज संख्या जैसे विकल्पों को छोटे (n) से जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=4n^2-1\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=4n^2-1\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (35)

Step 1

Concept

\(a_3=4\times9-1=35\). In exams, square first and then multiply by (4).

Step 2

Why this answer is correct

The correct answer is C. (35). \(a_3=4\times9-1=35\). In exams, square first and then multiply by (4).

Step 3

Exam Tip

\(a_3=4\times9-1=35\) है। परीक्षा में वर्ग के बाद (4) से गुणा करें।

Open Question Page
Ask Friends

अनुक्रम \(3,15,35,63,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(3,15,35,63,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=4n^2-1\)

Step 1

Concept

\(4n^2-1\) gives (3,15,35,63). In exams, substitute (n=1,2,3) and match.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=4n^2-1\). \(4n^2-1\) gives (3,15,35,63). In exams, substitute (n=1,2,3) and match.

Step 3

Exam Tip

\(4n^2-1\) से (3,15,35,63) मिलते हैं। परीक्षा में (n=1,2,3) रखकर मिलान करें।

Open Question Page
Ask Friends

यदि \(a_n=3n+7\) है, तो \(a_6\) का मान क्या होगा?

If \(a_n=3n+7\), what is the value of \(a_6\)?

Explanation opens after your attempt
Correct Answer

B. (25)

Step 1

Concept

\(a_6=3\times6+7=25\). In exams, put the given (n) directly into the formula.

Step 2

Why this answer is correct

The correct answer is B. (25). \(a_6=3\times6+7=25\). In exams, put the given (n) directly into the formula.

Step 3

Exam Tip

\(a_6=3\times6+7=25\) है। परीक्षा में दिए (n) को सीधे सूत्र में रखें।

Open Question Page
Ask Friends

अनुक्रम \(10,13,16,19,\ldots\) के लिए सही स्पष्ट नियम कौन-सा है?

Which explicit rule is correct for the sequence \(10,13,16,19,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=3n+7\)

Step 1

Concept

The difference is (3) and the first term is (10), so \(a_n=3n+7\). In exams, check the rule on the first two terms.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=3n+7\). The difference is (3) and the first term is (10), so \(a_n=3n+7\). In exams, check the rule on the first two terms.

Step 3

Exam Tip

अंतर (3) है और पहला पद (10) है, इसलिए \(a_n=3n+7\) है। परीक्षा में पहले दो पदों पर नियम जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=2^{n+1}\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=2^{n+1}\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

\(a_3=2^4=16\). In exams, find the exponent (n+1) first.

Step 2

Why this answer is correct

The correct answer is C. (16). \(a_3=2^4=16\). In exams, find the exponent (n+1) first.

Step 3

Exam Tip

\(a_3=2^4=16\) है। परीक्षा में पहले घातांक (n+1) निकालें।

Open Question Page
Ask Friends

अनुक्रम \(4,8,16,32,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(4,8,16,32,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. \(a_n=2^{n+1}\)

Step 1

Concept

Using \(2^{n+1}\) gives (4,8,16,32). In exams, match power options with the first term.

Step 2

Why this answer is correct

The correct answer is C. \(a_n=2^{n+1}\). Using \(2^{n+1}\) gives (4,8,16,32). In exams, match power options with the first term.

Step 3

Exam Tip

\(2^{n+1}\) रखने पर (4,8,16,32) मिलते हैं। परीक्षा में घात वाले विकल्पों को पहले पद से मिलाएँ।

Open Question Page
Ask Friends

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

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

Explanation opens after your attempt
Correct Answer

C. (24)

Step 1

Concept

\(a_4=16+8=24\). In exams, add both the square and (2n).

Step 2

Why this answer is correct

The correct answer is C. (24). \(a_4=16+8=24\). In exams, add both the square and (2n).

Step 3

Exam Tip

\(a_4=16+8=24\) है। परीक्षा में वर्ग और (2n) दोनों जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(3,8,15,24,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(3,8,15,24,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=n^2+2n\)

Step 1

Concept

\(n^2+2n\) gives (3,8,15,24). In exams, test polynomial rules with small (n) values.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=n^2+2n\). \(n^2+2n\) gives (3,8,15,24). In exams, test polynomial rules with small (n) values.

Step 3

Exam Tip

\(n^2+2n\) से (3,8,15,24) मिलते हैं। परीक्षा में बहुपद नियमों को छोटे (n) मानों से जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=50-5n\) है, तो \(a_7\) का मान क्या होगा?

If \(a_n=50-5n\), what is the value of \(a_7\)?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

\(a_7=50-35=15\). In exams, subtract (5n) correctly.

Step 2

Why this answer is correct

The correct answer is B. (15). \(a_7=50-35=15\). In exams, subtract (5n) correctly.

Step 3

Exam Tip

\(a_7=50-35=15\) है। परीक्षा में (5n) को सही घटाएँ।

Open Question Page
Ask Friends

अनुक्रम \(45,40,35,30,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(45,40,35,30,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=50-5n\)

Step 1

Concept

At (n=1), it gives (45), and at (n=2), it gives (40), so \(a_n=50-5n\). In exams, always check (n=1) when forming a decreasing rule.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=50-5n\). At (n=1), it gives (45), and at (n=2), it gives (40), so \(a_n=50-5n\). In exams, always check (n=1) when forming a decreasing rule.

Step 3

Exam Tip

(n=1) पर (45) और (n=2) पर (40) मिलता है, इसलिए \(a_n=50-5n\) है। परीक्षा में घटते समान अंतर का नियम बनाते समय (n=1) जरूर जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=6n-5\) है, तो कौन-सा पद (31) के बराबर होगा?

If \(a_n=6n-5\), which term will be equal to (31)?

Explanation opens after your attempt
Correct Answer

C. (n=6)

Step 1

Concept

From (6n-5=31), we get (n=6). In exams, equate the given term to the formula and solve.

Step 2

Why this answer is correct

The correct answer is C. (n=6). From (6n-5=31), we get (n=6). In exams, equate the given term to the formula and solve.

Step 3

Exam Tip

(6n-5=31) से (n=6) मिलता है। परीक्षा में दिए पद को सूत्र के बराबर रखकर हल करें।

Open Question Page
Ask Friends

अनुक्रम \(1,7,13,19,\ldots\) में (31) कौन-सा पद है?

In the sequence \(1,7,13,19,\ldots\), which term is (31)?

Explanation opens after your attempt
Correct Answer

C. छठा पद(6)th term

Step 1

Concept

Its rule is \(a_n=6n-5\), and (6n-5=31) gives (n=6). In exams, form the general term to find the term number.

Step 2

Why this answer is correct

The correct answer is C. छठा पद / (6)th term. Its rule is \(a_n=6n-5\), and (6n-5=31) gives (n=6). In exams, form the general term to find the term number.

Step 3

Exam Tip

इसका नियम \(a_n=6n-5\) है और (6n-5=31) से (n=6) है। परीक्षा में सामान्य पद बनाकर पद संख्या निकालें।

Open Question Page
Ask Friends

यदि \(a_n=\frac{n+1}{2}\) है, तो \(a_5\) का मान क्या होगा?

If \(a_n=\frac{n+1}{2}\), what is the value of \(a_5\)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(a_5=\frac{6}{2}=3\). In exams, simplify the numerator before dividing by the denominator.

Step 2

Why this answer is correct

The correct answer is B. (3). \(a_5=\frac{6}{2}=3\). In exams, simplify the numerator before dividing by the denominator.

Step 3

Exam Tip

\(a_5=\frac{6}{2}=3\) है। परीक्षा में पहले हर में जाने से पहले अंश को सरल करें।

Open Question Page
Ask Friends

अनुक्रम \(1,\frac{3}{2},2,\frac{5}{2},\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(1,\frac{3}{2},2,\frac{5}{2},\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=\frac{n+1}{2}\)

Step 1

Concept

\(\frac{n+1}{2}\) gives \(1,\frac{3}{2},2,\frac{5}{2}\). In exams, match fractional terms using small (n) values.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=\frac{n+1}{2}\). \(\frac{n+1}{2}\) gives \(1,\frac{3}{2},2,\frac{5}{2}\). In exams, match fractional terms using small (n) values.

Step 3

Exam Tip

\(\frac{n+1}{2}\) से \(1,\frac{3}{2},2,\frac{5}{2}\) मिलते हैं। परीक्षा में भिन्न पदों को छोटे (n) मानों से मिलाएँ।

Open Question Page
Ask Friends

यदि \(a_n=10n+5\) है, तो \(a_2\) का मान क्या होगा?

If \(a_n=10n+5\), what is the value of \(a_2\)?

Explanation opens after your attempt
Correct Answer

C. (25)

Step 1

Concept

\(a_2=10\times2+5=25\). In exams, replace (n) with the term number.

Step 2

Why this answer is correct

The correct answer is C. (25). \(a_2=10\times2+5=25\). In exams, replace (n) with the term number.

Step 3

Exam Tip

\(a_2=10\times2+5=25\) है। परीक्षा में (n) की जगह पद संख्या रखें।

Open Question Page
Ask Friends

अनुक्रम \(15,25,35,45,\ldots\) के लिए सही सामान्य पद कौन-सा है?

Which general term is correct for the sequence \(15,25,35,45,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=10n+5\)

Step 1

Concept

The first term is (15) and the difference is (10), so \(a_n=10n+5\). In exams, use the difference as the coefficient and find the constant from the first term.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=10n+5\). The first term is (15) and the difference is (10), so \(a_n=10n+5\). In exams, use the difference as the coefficient and find the constant from the first term.

Step 3

Exam Tip

पहला पद (15) और अंतर (10) है, इसलिए \(a_n=10n+5\) है। परीक्षा में अंतर को गुणांक और पहले पद से स्थिर भाग निकालें।

Open Question Page
Ask Friends

यदि \(a_n=2n^2+1\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=2n^2+1\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

B. (19)

Step 1

Concept

\(a_3=2\times9+1=19\). In exams, square first, multiply by (2), and add (1).

Step 2

Why this answer is correct

The correct answer is B. (19). \(a_3=2\times9+1=19\). In exams, square first, multiply by (2), and add (1).

Step 3

Exam Tip

\(a_3=2\times9+1=19\) है। परीक्षा में वर्ग के बाद (2) से गुणा करें और (1) जोड़ें।

Open Question Page
Ask Friends

अनुक्रम \(3,9,19,33,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(3,9,19,33,\ldots\)?

Explanation opens after your attempt
Correct Answer

A. \(a_n=2n^2+1\)

Step 1

Concept

Using \(2n^2+1\) gives (3,9,19,33). In exams, match the square-based rule with the first four terms.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=2n^2+1\). Using \(2n^2+1\) gives (3,9,19,33). In exams, match the square-based rule with the first four terms.

Step 3

Exam Tip

\(2n^2+1\) रखने पर (3,9,19,33) मिलते हैं। परीक्षा में वर्ग वाले नियम को पहले चार पदों से मिलाएँ।

Open Question Page
Ask Friends

यदि \(a_n=3^n-2\) है, तो \(a_3\) का मान क्या होगा?

If \(a_n=3^n-2\), what is the value of \(a_3\)?

Explanation opens after your attempt
Correct Answer

C. (25)

Step 1

Concept

\(a_3=3^3-2=25\). In exams, find the power first and then subtract (2).

Step 2

Why this answer is correct

The correct answer is C. (25). \(a_3=3^3-2=25\). In exams, find the power first and then subtract (2).

Step 3

Exam Tip

\(a_3=3^3-2=25\) है। परीक्षा में पहले घात निकालें और फिर (2) घटाएँ।

Open Question Page
Ask Friends

अनुक्रम \(1,7,25,79,\ldots\) के लिए सही स्पष्ट नियम कौन-सा है?

Which explicit rule is correct for the sequence \(1,7,25,79,\ldots\)?

Explanation opens after your attempt
Correct Answer

B. \(a_n=3^n-2\)

Step 1

Concept

\(3^n-2\) gives (1,7,25,79). In exams, also check constant subtraction in power-based options.

Step 2

Why this answer is correct

The correct answer is B. \(a_n=3^n-2\). \(3^n-2\) gives (1,7,25,79). In exams, also check constant subtraction in power-based options.

Step 3

Exam Tip

\(3^n-2\) से (1,7,25,79) मिलते हैं। परीक्षा में घात वाले विकल्पों में स्थिर घटाव भी जाँचें।

Open Question Page
Ask Friends

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

If \(a_n=n^2-2n\), what is the value of \(a_6\)?

Explanation opens after your attempt
Correct Answer

D. (24)

Step 1

Concept

\(a_6=36-12=24\). In exams, subtract (2n) from the square.

Step 2

Why this answer is correct

The correct answer is D. (24). \(a_6=36-12=24\). In exams, subtract (2n) from the square.

Step 3

Exam Tip

\(a_6=36-12=24\) है। परीक्षा में वर्ग में से (2n) घटाएँ।

Open Question Page
Ask Friends

अनुक्रम \(-1,0,3,8,\ldots\) का सामान्य पद क्या है?

What is the general term of the sequence \(-1,0,3,8,\ldots\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\(n^2-2n\) gives (-1,0,3,8). In exams, keep testing options even when the first term is negative.

Step 2

Why this answer is correct

The correct answer is A. \(a_n=n^2-2n\). \(n^2-2n\) gives (-1,0,3,8). In exams, keep testing options even when the first term is negative.

Step 3

Exam Tip

\(n^2-2n\) से (-1,0,3,8) मिलते हैं। परीक्षा में ऋणात्मक पहला पद आने पर भी विकल्पों को जाँचें।

Open Question Page
Ask Friends

यदि \(a_n=18+n\) है, तो \(a_5\) का मान क्या होगा?

If \(a_n=18+n\), what is the value of \(a_5\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Step 1

Concept

\(a_5=18+5=23\). In exams, substitute directly in simple addition formulas.

Step 2

Why this answer is correct

The correct answer is C. (23). \(a_5=18+5=23\). In exams, substitute directly in simple addition formulas.

Step 3

Exam Tip

\(a_5=18+5=23\) है। परीक्षा में सरल जोड़ वाले सूत्रों में सीधे प्रतिस्थापन करें।

Open Question Page
Ask Friends
FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.