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Question: The sum to infinity of the series 1 + \(\frac { 4 } { 5 }\) + \(\frac { 7 } { 5 ^ { 2 } }\)+ \(\fr...

The sum to infinity of the series

1 + 45\frac { 4 } { 5 } + 752\frac { 7 } { 5 ^ { 2 } }+ 1053\frac { 10 } { 5 ^ { 3 } }+…… is

A

1635\frac { 16 } { 35 }

B

118\frac { 11 } { 8 }

C

3516\frac { 35 } { 16 }

D

86\frac { 8 } { 6 }

Answer

3516\frac { 35 } { 16 }

Explanation

Solution

S¥ = +