Which term of G. P. 1/4,4,16....is equal to 16th term of G. P. 2,4.8....
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nth term of g.p = a ×r^ n-1
let G.P 1 be T
let G.P 2 be t
G.P 2= 2, 4, 8
a = 2 , r = 2 n = 16
16 th term of gp 2 = 2 × 2^15
gp 1 = 1/4 ,1 , 4, 16
so 1/4×4^ n-1 = 2 ^16
4^ n- 1 = 2^18
4^n-1 = 4^9
n-1 = 9
n= 10
so 10 th term of gp 1 is equal to 16 th term of gp2
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