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Find the sum to infinity of the following arithmetico-geometric sequence. 1, -4/3, 7/9, -10/27.....

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Find the sum to infinity of the following arithmetico-geometric sequence. 1, -4/3, 7/9, -10/27.....

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S = 1 + (-4/3) + 7/(-3)2 + 10/(-3)3+......(i)

Multiplying (i) by -1/3, we get

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