Question

By using a table if necessary, find the formula for the nth term of the following.

a) 2, 5, 10 17,26

Answer 1

`n^(th)\ term=n^2+1`

Explanation:

`First\ term(a_1)=2=1^2+1\\\\Second\ term(a_2)=5=2^2+1\\\\Third\ term(a_3)=10=3^2+1\\\\Fourth\ term(a_4)=17=4^2+1\\\\Fifth\ term(a_5)=26=5^2+1\\\\.\\\\.\\\\..\\\\n^(th)\ term=n^2+1`