Question

First term 2 common difference 13

Answer 1

Answer:

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

Step-by-step 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,...