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Find three numbers in G.P. whose sum is ...

Find three numbers in G.P. whose sum is 13 and the sum of whose squares is 91.

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`a + ar + ar^(2) = 13 ` …(i)
` a^(2) + a^(2) r^(2) + a^(2) r^(4) = 91` …(ii)
Squaring (i) and divide by (ii)
` r = 3 (1)/(3) and a = 1`
Hence , number are 1, 3, 9
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