Question

+ Find the first five terms of the sequence: an = an-1 + 4; a1 = 16.
an-
2

Answer 1

16, 20, 24, 28, and 32

Explanation:

Given:

The
`n^(th)` term of the sequence is given as:

`a_n=a_(n-1)+4`

The first term is given as
`a_1=16`

We need to find the remaining 4 terms.

So, we plug in 2, 3, 4, 5 for 'n' and find the remaining 4 terms of the sequence.

For
`n=2`

`a_2=a_(2-1)+4\\\\a_2=a_1+4\\\\a_2=16+4=20`

For
`n=3`

`a_3=a_(3-1)+4\\\\a_3=a_2+4\\\\a_3=20+4=24`

For
`n=4`

`a_4=a_(4-1)+4\\\\a_4=a_3+4\\\\a_4=24+4=28`

For
`n=5`

`a_5=a_(5-1)+4\\\\a_5=a_4+4\\\\a_5=28+4=32`

Therefore, the first five terms of the given sequence are:

16, 20, 24, 28, and 32