Question

solve this series. 256,81,64,27,....​

Answer 1

16 is the required answer. next 9 because 9*3=27.
I hope this helps you......

Answer 2

256, 81, 64, 27, 16, 9

Solution:

Given series is:

256 , 81 , 64 , 27 , ?

We have to find the next term in series

Let us analyse the logic used in series

Separate them into two series

Series 1: 256 , 64 , ?

Series 2: 81 , 27

From series 1, we observe successive terms are found by dividing previous term by 4

$256\\\\\frac{256}{4} = 64\\\\Thus\ next\ term\ would\ be\\\\\frac{64}{4} = 16$

From series 2, we observe successive terms are found by dividing previous term by 3

$81\\\\\frac{81}{3} = 27\\\\\frac{27}{3} = 9$

This pattern goes on

Thus the complete series is:

256, 81, 64, 27, 16, 9

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