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

User Cacau
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1 Answer

4 votes

Answer:

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

User Mtay
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7.9k points

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