Without evaluating their sums

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

Problem

Without evaluating their sums, decide which of the following two infinite geometric series has the greater sum and give one brief reason. Series P: 2+1.2+0.72+…2 + 1.2 + 0.72 + \ldots Series Q: 2+0.8+0.32+…2 + 0.8 + 0.32 + \ldots

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