Question

Write the first four terms of the sequence whose general term is given below.

an=5(n+1)!

Answer 1

`a_n=5(n+1)!`

Assume n starts at the value, 1.


`a_1=5(1+1)!`

`a_1=5(2)!`

`a_1=10!`


`a_2=5(2+1)!`

`a_2=5(3)!`

`a_2=15!`


`a_3=5(3+1)!`

`a_3=5(4)!`

`a_3=20!`


`a_4=5(4+1)!`

`a_4=5(5)!`

`a_4=25!`


`[a_n] = [10!~, 15!~, 20!~, 25!]`