A G.P has a common ratio of 2 find the value of n for which the sum of 2n termvis 33ctimes the sum of n term

1 answer

Sn = a(r^n-1)/(r-1)
So, you want n where
(r^(2n)-1)/(r-1) = 33(r^n-1)/(r^n-1)
(r^(2n)-1)/(r^n-1) = 33
(r^n+1)(r^n-1)/(r^n-1)
2^n+1 = 33
n = 5
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