What is the recursive formula for this sequence?
1/8, 1/4, 1/2, 1
each term is twice the previous term
An = 2^(n - 4)
Thank you!!!!!!!!!
The recursive formula is
A_1 = 1/8
A_n+1 = A_n * 1/2
from oobleck
The recursive formula is
A_1 = 1/8
A_n+1 = A_n * 2 ... the multiplier is 2 ... not 1/2
>head slap<
To determine the recursive formula for a sequence, we need to identify the pattern or relationship between consecutive terms.
Looking at the given sequence: 1/8, 1/4, 1/2, 1
We can observe that each term is twice the value of the previous term. In other words, each term can be obtained by multiplying the previous term by 2.
Let's denote the nth term of the sequence as a(n). We can express the recursive formula as follows:
a(1) = 1/8 (the first term is given)
a(n) = 2 * a(n-1) (for n > 1, each term is twice the value of the previous term)
Therefore, the recursive formula for this sequence is:
a(n) = 2 * a(n-1)