The sum of the first five terms in a geometric sequence,

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The sum of the first five terms in a geometric sequence, gn\boldsymbol{g}_{\boldsymbol{n}}, is 1210 , and the value of its infinite series is 1215 . Determine an explicit formula for gn\boldsymbol{g}_{\boldsymbol{n}}.

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