Question

What is the recursive formula for the sequence 8,6,4,2,0

Answer 1

an = 10 - 2n

Explanation:

Given sequence: 8,6,4,2,0 ...

Which is an arithmetic sequence.

Here first tern (a1) = 8, common difference (d) = 6 - 8 = -2 .

Formula: an=a1+(n-1)d , where "an"is the nth term.

Plug in the values of a1 = 8 and d = -2, we get

an = 8 + (n-1)*-2

Distributing -2, we get

an=8 - 2n + 2

Simplify the like terms, we get

an = 10 - 2n

Hope this will helpful.

Thank you.

Answer 2

Given sequence:
8,6,4,2,0
Here common difference, d= 6-8=-2
a1=8
Formula:
an=a1+(n-1)d
Put values
an=8+(n-1)-2
an=8-2n+2
an=10-2n

Answer: Recursive formula is an=10-2n or an=-2n+10