Math, asked by juweriyanaaz, 11 months ago

Which term of G. P. 1/4,4,16....is equal to 16th term of G. P. 2,4.8....​

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Answered by devesh5ruku
6

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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