Question

find the sum of the series 1+1/2+1/4+1/8upto 12 term?​

Answer 1

Answer:Sn​ be sum of first n terms of G.P. Formula for sum of n terms of G .P is given by. Sn​=r−1a(rn−1)​ S10​=−2−12×([−2]10−1)​=3−2046​=−682.

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Answer 2

Given, a = 1, n = 12, r = a2/a1 = 1/2 ÷ 1 = 1/2

We know that the Formula to find

Sum of series is

Sn = a[1 - r^n] ÷ 1 - r

S12 = 1 [ 1 - (1/2)¹ ] ÷ 1 -(-1/2)

S12 = 1 - 1/2 ÷ 1 + 1/2

S12 = 1/3.

So, The sum of series is 1/3.