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common-difference-from-sum MCQ Questions for Class 10

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2 questions tagged with common-difference-from-sum.

Question 1/2 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि किसी समान्तर श्रेणी का \(S_n=4n^2+n\) है तो उसका सार्व अंतर क्या होगा?

If \(S_n=4n^2+n\) for an arithmetic progression, what is its common difference?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

\(a_1=S_1=5\) and \(a_2=S_2-S_1=13\), so (d=8). Exam tip: start with \(S_1\) and \(S_2-S_1\).

Step 2

Why this answer is correct

The correct answer is C. (8). \(a_1=S_1=5\) and \(a_2=S_2-S_1=13\), so (d=8). Exam tip: start with \(S_1\) and \(S_2-S_1\).

Step 3

Exam Tip

\(a_1=S_1=5\) और \(a_2=S_2-S_1=13\) इसलिए (d=8)। परीक्षा में \(S_1\) और \(S_2-S_1\) से शुरू करें।

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Question 2/2 Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

यदि किसी समान्तर श्रेणी का \(S_n=3n^2-2n\) है तो उसका सार्व अंतर क्या होगा?

If \(S_n=3n^2-2n\) for an arithmetic progression, what is its common difference?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

\(a_1=S_1=1\) and \(a_2=S_2-S_1=7\), so (d=6). Exam tip: start with \(S_1\) and \(S_2-S_1\).

Step 2

Why this answer is correct

The correct answer is B. (6). \(a_1=S_1=1\) and \(a_2=S_2-S_1=7\), so (d=6). Exam tip: start with \(S_1\) and \(S_2-S_1\).

Step 3

Exam Tip

\(a_1=S_1=1\) और \(a_2=S_2-S_1=7\) इसलिए (d=6)। परीक्षा में \(S_1\) और \(S_2-S_1\) से शुरू करें।

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