Question

what are the explicit equation and domain for a geometric sequence with a first term of 8 and a second term of 5

Answer 1

The explicit equation is a(n) = 8*(5/8)^(n - 1).

The domain is [0, ∞ ).

Explanation:

If the first term is 8 and the second term is 5, we get to 5 by multiplying 8 by 5/8:

(5/8)(8) = 5

Thus, the common ratio of this geometric sequence is 5/8.

The explicit equation is a(n) = 8*(5/8)^(n - 1).

The domain is [0, ∞ ).