Question

First term 2 common difference 13

Answer 1

With the first term is 2 and common difference is 13 then the series is 2,15,28,...

Explanation:

Given first term is 2 and common difference is 13.

Arithmetic progression:

`a_(1)=2` and d=2 [given]

Therefore we can find arithmetic series
`a_(1),a_(2),a_(3),...` with
`a_(1)=2` and d=2

d can be written as
`d=a_(2)-a_(1)`. Therefore we can write
`a_(2)` as below:

`a_(2)=a_(1)+d`

Now substitute the values
`a_(1)=2` and d=2

`a_(2)=2+13`

`a_(2)=15`

Similarly we can find
`a_(3)`

d can be written as
`d=a_(3)-a_(2)`. Therefore we can write
`a_(3)` as below:

`a_(3)=a_(2)+d`

`a_(3)=15+13`

`a_(3)=28`

and so on.

Therefore the series is 2,15,28,...