Question

find the nth term of the g.p 1,2,4,8,..64,128,256
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Answer 1

Please check the image description

Answer 2

Answer:

Step-by-step explanation:

nth term of GP is given by arⁿ⁻¹

So in the given series, a = 1 , r = 2/1 = 2.

=> arⁿ⁻¹  = 256

=> 1 * 2ⁿ⁻¹  = 256

=> 2ⁿ⁻¹  = 28

//by laws of exponents, when bases are same powers are equal.

=> n - 1 = 8

=> n = 9.

Thus the 9th term of GP is 256.