Question

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

Answer 1

Answer:

16, 20, 24, 28, and 32

Step-by-step 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