The sum of the first eight terms in an arithmetic sequence,

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The sum of the first eight terms in an arithmetic sequence, an\boldsymbol{a}_{\boldsymbol{n}}, is 28 , and the sum of the first twelve terms in an\boldsymbol{a}_{\boldsymbol{n}} is -30 . Determine an explicit formula for the arithmetic sequence, an\boldsymbol{a}_{\boldsymbol{n}}.

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