Question

Write the first five terms of the following sequences whose nth terms are:

`a_n = (3n - 2)/5`

Answer 1

`a_n = (3n - 2)/5`

Here, the n^th term is given by the above expression. So, to find the first term we use, n =1 we get

`a_1 = (3(1) - 2)/5`

`= 1/5`

Similarly, we find the other four terms,

Second term (n = 2)

``a_2 = (3(2) - 2)/5`

`= (6 - 2)/5`

`= 4/5`

Third term (n = 3)

`a_3 = (3(3) - 2)/5`

`= (9 - 5)/5`

`= 7/5`

Fourth term (n = 4)

`a_4 = (3(4) - 2)/5`

`= (12 - 2)/5`

`= 10/5`

= 2

Fifth term (n = 5)

`a_5 = (3(5) - 2)/5`

`= (15 - 2)/5`

`= 13/5`

Therefore, the first five terms for the given sequence are `a_1 = 1/5, a_2 = 4/5,a_3 = 7/5, a_4 = 2, a_5 = 13/5`