Consider the series Show that and hence that Hence sum the series. || = - + +

Question:

Consider the series

|| = - + + + n 2"

Show that

S n = 1 4 2 + 3 8 16 + +...+ n 22+1

and hence that

Sn-Sn 1 - + 2 4 + 1 8 + 16 + + 1 2" + n 2n+1

Hence sum the series.

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