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Mathematics Sum of first n natural numbers MCQ Questions for Class 9

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Sum of first n natural numbers Practice Questions

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Question 1/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (10) प्राकृतिक संख्याओं का योग क्या है?

What is the sum of the first (10) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (55)

Step 1

Concept

Using (S_n=\frac{n(n+1)}{2}), \(S_{10}=\frac{10\cdot11}{2}=55\). In exams, put the correct value of (n).

Step 2

Why this answer is correct

The correct answer is C. (55). Using (S_n=\frac{n(n+1)}{2}), \(S_{10}=\frac{10\cdot11}{2}=55\). In exams, put the correct value of (n).

Step 3

Exam Tip

सूत्र (S_n=\frac{n(n+1)}{2}) से \(S_{10}=\frac{10\cdot11}{2}=55\)। परीक्षा में (n) की जगह सही संख्या रखें।

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Question 2/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (20) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (20) natural numbers.

Explanation opens after your attempt
Correct Answer

B. (210)

Step 1

Concept

\(S_{20}=\frac{20\cdot21}{2}=210\). Cancelling (20) by (2) first makes calculation easy.

Step 2

Why this answer is correct

The correct answer is B. (210). \(S_{20}=\frac{20\cdot21}{2}=210\). Cancelling (20) by (2) first makes calculation easy.

Step 3

Exam Tip

\(S_{20}=\frac{20\cdot21}{2}=210\)। पहले (20) को (2) से काटना गणना आसान करता है।

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Question 3/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

यदि (S_n=\frac{n(n+1)}{2}), तो \(S_{15}\) क्या होगा?

If (S_n=\frac{n(n+1)}{2}), what is \(S_{15}\)?

Explanation opens after your attempt
Correct Answer

D. (120)

Step 1

Concept

\(S_{15}=\frac{15\cdot16}{2}=120\). Divide (16) by (2) before multiplying.

Step 2

Why this answer is correct

The correct answer is D. (120). \(S_{15}=\frac{15\cdot16}{2}=120\). Divide (16) by (2) before multiplying.

Step 3

Exam Tip

\(S_{15}=\frac{15\cdot16}{2}=120\)। गुणा करने से पहले (16) को (2) से भाग दें।

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Question 4/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

\(1+2+3+\cdots+25\) का मान क्या है?

What is the value of \(1+2+3+\cdots+25\)?

Explanation opens after your attempt
Correct Answer

A. (325)

Step 1

Concept

The sum of the first (25) natural numbers is \(\frac{25\cdot26}{2}=325\). The formula saves time in long addition.

Step 2

Why this answer is correct

The correct answer is A. (325). The sum of the first (25) natural numbers is \(\frac{25\cdot26}{2}=325\). The formula saves time in long addition.

Step 3

Exam Tip

पहले (25) प्राकृतिक संख्याओं का योग \(\frac{25\cdot26}{2}=325\) है। लंबे जोड़ में सूत्र समय बचाता है।

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Question 5/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (30) प्राकृतिक संख्याओं का योग कौन सा है?

Which is the sum of the first (30) natural numbers?

Explanation opens after your attempt
Correct Answer

D. (465)

Step 1

Concept

\(S_{30}=\frac{30\cdot31}{2}=465\). Dividing (30) by (2) first gives \(15\cdot31\).

Step 2

Why this answer is correct

The correct answer is D. (465). \(S_{30}=\frac{30\cdot31}{2}=465\). Dividing (30) by (2) first gives \(15\cdot31\).

Step 3

Exam Tip

\(S_{30}=\frac{30\cdot31}{2}=465\)। (30) को पहले (2) से भाग देने पर \(15\cdot31\) मिलता है।

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Question 6/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (12) प्राकृतिक संख्याओं का योग कितना है?

How much is the sum of the first (12) natural numbers?

Explanation opens after your attempt
Correct Answer

B. (78)

Step 1

Concept

\(S_{12}=\frac{12\cdot13}{2}=78\). Put (n=12) directly in the formula.

Step 2

Why this answer is correct

The correct answer is B. (78). \(S_{12}=\frac{12\cdot13}{2}=78\). Put (n=12) directly in the formula.

Step 3

Exam Tip

\(S_{12}=\frac{12\cdot13}{2}=78\)। सूत्र में (n=12) सीधे रखें।

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Question 7/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

यदि पहले (n) प्राकृतिक संख्याओं का योग निकालना हो, तो सही सूत्र कौन सा है?

Which is the correct formula for the sum of the first (n) natural numbers?

Explanation opens after your attempt
Correct Answer

C. (\frac{n(n+1)}{2})

Step 1

Concept

The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}). Remembering this formula is the main key for this chapter.

Step 2

Why this answer is correct

The correct answer is C. (\frac{n(n+1)}{2}). The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}). Remembering this formula is the main key for this chapter.

Step 3

Exam Tip

पहले (n) प्राकृतिक संख्याओं का योग (\frac{n(n+1)}{2}) होता है। सूत्र याद रखना इस अध्याय की मुख्य कुंजी है।

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Question 8/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

\(1+2+3+\cdots+50\) का योग क्या है?

What is the sum of \(1+2+3+\cdots+50\)?

Explanation opens after your attempt
Correct Answer

B. (1275)

Step 1

Concept

\(S_{50}=\frac{50\cdot51}{2}=1275\). Halve (50) first and then multiply by (51).

Step 2

Why this answer is correct

The correct answer is B. (1275). \(S_{50}=\frac{50\cdot51}{2}=1275\). Halve (50) first and then multiply by (51).

Step 3

Exam Tip

\(S_{50}=\frac{50\cdot51}{2}=1275\)। पहले (50) को आधा करें फिर (51) से गुणा करें।

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Question 9/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (5) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।

Find the sum of the first (5) natural numbers.

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

(1+2+3+4+5=15). For small (n), you can also check by direct addition.

Step 2

Why this answer is correct

The correct answer is C. (15). (1+2+3+4+5=15). For small (n), you can also check by direct addition.

Step 3

Exam Tip

(1+2+3+4+5=15)। छोटे (n) के लिए सीधे जोड़कर भी जांच सकते हैं।

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Question 10/600 Easy Mathematics Sequences and Progressions Sum of first n natural numbers Class 9 Level 62

पहले (8) प्राकृतिक संख्याओं का योग क्या होगा?

What will be the sum of the first (8) natural numbers?

Explanation opens after your attempt
Correct Answer

A. (36)

Step 1

Concept

\(S_8=\frac{8\cdot9}{2}=36\). Divide (8) by (2) and calculate \(4\cdot9\).

Step 2

Why this answer is correct

The correct answer is A. (36). \(S_8=\frac{8\cdot9}{2}=36\). Divide (8) by (2) and calculate \(4\cdot9\).

Step 3

Exam Tip

\(S_8=\frac{8\cdot9}{2}=36\)। (8) को (2) से भाग देकर \(4\cdot9\) करें।

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