Home Maths Sequence and Series ( Progressions ) JEE Mains 2023 For k N, if the sum of the series is 10, t…
Maths Sequence and Series ( Progressions ) JEE Mains 2023 Numeric Response
Published on: August 14, 2026

For k N, if the sum of the series is 10, then the value of k is

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The correct answer is:
2

(2)

Given,

.....

.….

On subtracting above two equations we get,

.....

Again subtracting both equations we get,

10(k - 1) 3 = k(k 2 + k-1)

9k 3 – 31k 2 + 31k - 10 = 0

k = 2

Hence, k = 2

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