The partial sum of an arithmetic sequence is 1070

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

The 20th 20^{\text {th }} partial sum of an arithmetic sequence is 1070 . The sum of its fifth term and its tenth term is 65 . a. Write an expression for the nth \mathrm{n}^{\text {th }} term of this sequence. b. Find the 30th 30^{\text {th }} partial sum of this sequence.

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