Question

A sequence is given by Un+1=Un+3, where U1=4, find U2, U3 and U4

Answer 1

The values of the sequence are
`U_(2) = 7`,
`U_(3) = 10` and
`U_(4) = 13`

How to determine the values of the sequence

From the question, we have the following parameters that can be used in our computation:

`U_(n + 1) = U_(n) + 3`

Also, we have

`U_1 = 4`

Set n = 1

So, we have

`U_(1 + 1) = U_(1) + 3`

`U_(2) = 4 + 3`

`U_(2) = 7`

Set n = 2

So, we have

`U_(2 + 1) = U_(2) + 3`

`U_(3) = 7 + 3`

`U_(3) = 10`

Set n = 3

So, we have

`U_(3 + 1) = U_(3) + 3`

`U_(4) = 10 + 3`

`U_(4) = 13`

Hence, the values of the sequence are
`U_(2) = 7`,
`U_(3) = 10` and
`U_(4) = 13`