What is the next number in this series?

6, 14, 36, 98, 276, ?

### Share:

- Click to email a link to a friend (Opens in new window)
- Click to print (Opens in new window)
- Click to share on Facebook (Opens in new window)
- Click to share on LinkedIn (Opens in new window)
- Click to share on Reddit (Opens in new window)
- Click to share on Twitter (Opens in new window)
- Click to share on Tumblr (Opens in new window)
- Click to share on Pinterest (Opens in new window)

Warning: Use of undefined constant bfa_comments - assumed 'bfa_comments' (this will throw an Error in a future version of PHP) in/home/customer/www/riddledude.com/public_html/wp-content/themes/atahualpa/comments.phpon line132802?

Sorry Dr., wrong. I don’t understand the math behind the correct answer, but this is the key to finding the answer: The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.

812

Sorry, Anuj you are not there yet. This is a mathematical brain bender for sure. Here is the final hint:

The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.

Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,

the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,

and so on.

794

Brent you are right again and today’s winner!

794 The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n. Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6, the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14, and so on.

The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.