Progression (Sequence and Series)Hard

Question

Sum of the first n terms of the series

+ ..... is equal to

Options

A.2ⁿ - n - 1

B.1 - 2^{- n}

C.n + 2^{- n} - 1

D.2ⁿ + 1

Solution

Sum of the n terms of the series

+ ..... upto n terms can be written as

.... upto n terms
= n -

= n -

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