CBSE Class 11-science Answered
(1+2)+(1+2+2²)+(1+2+2²+2³)+(1+2+2²+2³+2⁴)+.........
Find sum of 'n' terms
Asked by lomatevaibhavv1 | 30 Nov, 2018, 11:36: PM
Expert Answer
S = (1+2) + (1+2+22) + (1+2+22+23) +.........................+(1+2+22+.......2n)
Each term in the above sum is GP. Since common factor is 2, denominator of each sum of GP is 1
S = (22-1) + (23-1) + (24-1)+........................................+(2n+1 -1)
S = 22+23+24 ............................+2n+1 - n
S = 22 ( 1+2+22+23+........................+2n-1 ) - n
S = 22 (2n - 1 ) - n = ( 2n+2 -4 - n )
Answered by Thiyagarajan K | 01 Dec, 2018, 05:13: AM
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