For a convergent geometric progression with positive first term

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

Problem

For a convergent geometric progression with positive first term aa, comment on the sign of the remainder RnR_n after nn terms in the following two cases and give a brief reason for each. (i) 0<r<10<r<1 (ii) −1<r<0-1<r<0

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