Question

The next term of the following pattern is 356,405,436,489,524,?

Answer 1

$405 - 356 = 49 \\ 436 - 405 = 31 \\ 489 - 436 = 53 \\ 524 - 489 = 35 \\ 53 - 49 = 35 - 31 = 4 \\ we \: would \: add \: 4 \: in \: 53andd \: add \: 57 \: to \: 489 \\ 489 + 57 = 546$

Answer 2

The next term of the following pattern is 356,405,436,489,524, is 581

Solution:

Given series is 356,405,436,489,524,?

We have to find the next term in the series

Let us first analyse the logic used in the series

$\begin{array}{l}{356=19^{2}-5} \\ {405=20^{2}+5} \\ {436=21^{2}-5} \\ {489=22^{2}+5} \\ {524=23^{2}-5} \\ {581=24^{2}+5}\end{array}$

Hence by above observation we can say that numbers from 19, 20 and son are squared and added or subtracted to get the result

So, the next term is $24^2+5=581$

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