Find the general term of the sequence: 2,7, 14, 23, 34, ...

ang mag give ng mali na answer kay kuwang sa atiman ://​


Sagot :

The general term is:

[tex]an = {n}^{2} + 2n - 1[/tex]

where

an is the nth term and

n is the number of terms.

To check if this is correct, try to find the third term which is already in the given sequence.

a3 = 14

a3 = 9^2 + 2(3) - 1

a3 = 9 + 6 - 1

a3 = 9 + 5

a3 = 14

14 = 14

Therefore, the general term is correct.