The sum of n terms of an arithmetic series is S_n = 2n - n^2. Find | Filo
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Class 11

Math

Algebra

Sequences and Series

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The sum of terms of an arithmetic series is . Find the first term and the common difference.

Correct Answer: Option(c)
Solution: The sum of n terms formula is given by,
........... (1)
Given :-    ......... (2)
Comparing equation (1) & (2), we get


     .......... (3)
On comparing factors of in equation (3)

On comparing factors of in equation (3), we have





Therefore, the first term, and the common difference, .
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