Question

Find the first five terms for the following arithmetic sequence Tn=5n-6?

Answer 1

The first five terms are -1,4,9,14 and 19.

Explanation:

The arithmetic sequence is :

`T_n=5n-6`

We need to find the first five terms of the sequence.

Put n = 1 for first term.

`T_1=5(1)-6=-1`

Put n = 2 for second term.

`T_2=5(2)-6=\\\\=10-6\\\\=4`

Put n = 3 for third term.

`T_3=5(3)-6=\\\\=15-6\\\\=9`

Put n = 4 for fourth term.

`T_4=5(4)-6=\\\\=20-6\\\\=14`

Put n = 5 for fifth term.

`T_3=5(5)-6=\\\\=25-6\\\\=19`

Hence, the first five terms are -1,4,9,14 and 19.