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The 1^(st), 2^(nd) and 3^(rd) terms of a...

The `1^(st), 2^(nd) and 3^(rd)` terms of an arithme tic series are a,b and `a^2` where 'a' is negative. The `1^(st), 2^(nd), 3^(rd)` terms of a geometric series are `a,a^2 and b` find the value of a and b

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The 1^st, 2^nd and 3^rd terms of an arithmetic series are a, b and a^2 where 'a' is negative. The 1^st, 2^nd and 3^rd terms of a geometric series are a, a^2 and b find the (a) value of a and b (b) sum of infinite geometric series if it exists. If no then find the sum to n terms of the G.P. (c) sum of the 40 term of the arithmetic series.

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