Question

3,5,17,53,133,?

Find next series

Answer 1

17 = 5*3 + 5 - 3
53 = 17*3 + 5 - 3
? = 133*3 + 5 - 3
= 399 + 2
= 401

Answer 2

The next series is $401$

Step-by-step explanation:

Given,

$3,5,17,53,133,?$

Find next series.

By the operation of $3$ and $5$ we get $3rd$ number $17$,

$(5\times 3)+5-3=17$

Similarly,

$(17\times 3)+5-3=53$

Similarly,

$(53\times 3)+5-3=133$

By the same process,

$(133\times 3)+5-3=401$

So, The next series is $401$