English, asked by sreekumarir5538, 7 months ago

Find the next number in the series 29, 121, 16, 49, 169, 256

Answers

Answered by pulakmath007
5

SOLUTION

TO DETERMINE

The next number in the series 29, 121, 16, 49, 169, 256

EVALUATION

We first write down the pattern :

The pattern is : The next number in the series is obtained by squaring the sum of all the digits in the previous number

First number = 29

Sum of the digits = 2 + 9 = 11

Square of 11 = 121 = Next number

Second number = 121

Sum of the digits = 1 + 2 + 1 = 4

Square of 4 = 16 = Next number

So on

Now we have to find the next number to 256

Sum of the digits = 2 + 5 + 6 = 13

Square of 13 = 169 = Next number

FINAL ANSWER

Hence the required next number = 169

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