Question

Write the explicit formula for the geometric sequence.

64, 32, 16, 8, ...
A) an = 8 · 4n-1
B) an = 8 · 2n-1
C) an = 32 · 0.5n-1
D) an = 64 · 0.5n-1

Answer 1

D)
`a_(n)`
`=64`×
`0.5^(n-1)`

Explanation:

The answer is D because it is the only answer that has an=64 and a decimal, 64 is your first term and the sequence is getting smaller

AND OR

Answer:

D)
`a_(n)`
`=64`×
`0.5^(n-1)`

Explanation:

Explicit Formula: an = a1 · dn-1

a1 = 64, d = 0.5

an = 64 · 0.5n-1