The 20th partial sum of an arithmetic sequence is 1070

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The 20th partial sum of an arithmetic sequence is 1070. The sum of its fifth term and its tenth term is 65. (1) Write an expression for the nthn^{\text{th}} term of this sequence. (2) Find the 30th partial sum of this sequence.

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