Question

If the nth term of a number sequence is n^2 + 2,
find the first 3 terms and the 10th term ​

Answer 1

The first three terms are
`3,6,11`

The 10th term is
`102`

Explanation:

An ordered list of numbers is known as a sequence such that each number in the sequence is called a term.

The nth term is
`a_n=n^2+2`.

To find the first 3 terms, put
`n=1,2,3`

`a_1=1^2+2=1+2=3\\a_2=2^2+2=4+2=6\\a_3=3^2+2=9+2=11`

To find the 10th term, put
`n=10` in
`a_n=n^2+2`

`a_(10) =(10)^2+2=100+2=102`