Question

If the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

Answer 1

First three terms: -2, 1, 6

Tenth term: 97

Explanation:

Given

`T_n =n^2 -3`

Required

The first three terms and the tenth

So, we have:

First term: n =1

`T_1 = 1^2 - 3 = 1 - 3 = -2`

Second term: n = 2

`T_2 = 2^2 - 3 = 4 - 3 = 1`

Third term: n = 3

`T_3 = 3^2 - 3 = 9 - 3 = 6`

Tenth term: n = 10

`T_(10) = 10^2 - 3 = 100 - 3 = 97`