Question

What are the terms of this arithmetic series?

Answer 1

a1= 4

a2=7

a3=10

a4=13

a5=16

s5=50

Step-by-step explanation

Answer 2

`a_1=7`

`a_2=7\\a_3=10\\a_4=13\\a_5=16`

Explanation:

The arithmetic series is
`S_(5)=\sum_(k=1)^5(1+3k)`

From the given series the general term of the series is
`a_k=1+3k`

When
`k=1`, we substitute into the general formula to get:

`a_1=1+3(1)=4`

When k=2, we get:
`a_2=1+3(2)=7`

When k=3, we substitute to get:

`a_3=1+3(3)=10`

When k=4, we substitute to get:

`a_4=1+3(4)=13`

When k=5, we get:

`a_5=1+3(5)=16`