Math, asked by amardeep86, 1 year ago

find sum of n terms 3+5+9+15...........

Answers

Answered by nitish7885
0
Hey mate,
here is your answer :-
3+5+9+15......

(2+1)+(4+1)+(8+1)+(14+1)+.......+(2n+1)(2+1)+(4+1)+(8+1)+(14+1)+.......+(2n+1)

n+(−1)+(20)+21+22+23+24+25+......+2nn+(−1)+(20)+21+22+23+24+25+......+2n

(adding +1+1 and subtracting −1−1)
(n−1)+2n+1−1(n−1)+2n+1−1

(n−2)+2n+1(n−2)+2n+1

((This identity is used above for every natural number nn, 20+21+...+2n=2n+1−120+21+...+2n=2n+1−1))
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