Question

What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

Answer 1

Answer:

$a_n=-8n-7$ is the closed linear form of the given sequence.

Step-by-step explanation:

Given that $a_1=-15$ and $a_{n+1}=a_n-8$

To find the closed linear form for this given sequence :

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is $a_n=a_1+(n-1)d$

Substitute $a_1=-15$ and d=-8 in $a_n=a_1+(n-1)d$ we get

$a_n=-15+(n-1)(-8)$

$=-15-8n+8$

$a_n=-8n-7$

Therefore $a_n=-8n-7$ is the closed linear form of the given sequence.

Answer 2

Answer:

c) an=-7+8n

Step-by-step explanation:

i got it wrong and it told me the right answer so ill make sure you guys don't get it wrong :3