Question

Write the next 5 terms of this sequence. Given: a1=3 and d = 5

Answer 1

To find the number of term, we will use the formula;

`U_{n\text{ = }}a+(n-1)d`

when n= 1

`U_1=\text{ 3 + (1-1)5}`
`=\text{ 3+0}=3`

for the second term

n = 2

`U_2=\text{ 3 + (2-1)5}`

= 3 + 5

=8

For n= 3

`U_3=3+\text{ (3-1)5}`

=3 + 2(5)

=3 + 10

=13

For n=4

`U_4=3+(4-1)5`

=3+3(5)

= 3 + 15

= 18

For n= 5

`U_5=3+(5-1)5`

= 3 + 4(5)

= 3 + 20

= 23

Therefore, the terms; 3, 8, 13, 18 and 23