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nth Term of an AP

Find the sum ...

Question

Find the sum of the following finite series.

(a) 1 + 2 + 4 + ………+ 256

(b)

(c) 1 + 0.1 + 0.01 + ……. +(0.1)⁹

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Solution

(a) The given series is .

Here, and .

(b) The given series is .

Here, and .

(c) The given series is .

Here, and .

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\infty

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