Series..

Level 1

Can you deduce the pattern and find the next number in the series? 6, 14, 36, 98, __?

510 409 99 305 276 105

2 solutions

Nihar Mahajan
Apr 14, 2015

$\huge\text{nth term}=2^n+3^n+1$

When $n=5$ we get $\huge\boxed{276}$

Karandeep Singh Ludhar
Apr 13, 2015

6 = 1^1 + 2^1 + 3^1, 14 = 1^2 + 2^2 + 3^2, 36 = 1^3 + 2^3 + 3^3, 98 = 1^4 + 2^4 + 3^4,

Thus the next number will be, 1^5 + 2^5 + 3^5 = 276.

The third term should be 36 and not 26 ??

Vaibhav Prasad - 6 years, 2 months ago

Thanks for pointing it out , I have edited it .

karandeep singh ludhar - 6 years, 2 months ago