What number comes next 2, 6, 15, 40, 145, ___ - mathselab.com

What is the next number in this series: 2, 6, 15, 40, 145, ___?

Question


What is the next number in this series: 2, 6, 15, 40, 145, _?


A. 236
B. 345
C. 756
D. 456


Answer: C. 756


Solution:


1! + 1^2 = 2,

2! + 2^2 = 6,

3! + 3^2 = 15,

4! + 4^2 = 40,

5! + 5^2 = 145,

So, 6! + 6^2 = 756.


Hence, the answer is 756.



Read more:


The sum of the two numbers is 25. If one of the numbers is 10, what is the other number?


Find the missing number (x) in the sequence 0,0,3,7,x,26

Leave a Reply

Your email address will not be published.