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Question 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 \(S_n=3n^2+4n\) है तो (16)वें से (25)वें पदों का योग कितना होगा?

If \(S_n=3n^2+4n\) for an arithmetic progression, what is the sum from the (16)th to the (25)th terms?

Explanation opens after your attempt
Correct Answer

C. (1240)

Step 1

Concept

The required sum is \(S_{25}-S_{15}=1975-735=1240\). Exam tip: use the difference of cumulative sums for middle terms.

Step 2

Why this answer is correct

The correct answer is C. (1240). The required sum is \(S_{25}-S_{15}=1975-735=1240\). Exam tip: use the difference of cumulative sums for middle terms.

Step 3

Exam Tip

वांछित योग \(S_{25}-S_{15}=1975-735=1240\) है। परीक्षा में बीच के पदों के लिए कुल योगों का अंतर लें।

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