Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the neares

Question

2 years ago

15

t tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.

The explicit rule for the geometric sequence is an

2 answers:

kow [346] · Answer 1 · 2022-08-09T16:53:17+03:00

kow [346]2 years ago

8 0

Answer:

Hence the explicit rule is a(n) 1184.625 *(2/3)^n.

castortr0y [4] · Answer 2 · 2022-08-09T14:32:11+03:00

Step-by-step explanation:

Geometric sequences are of the form a * b^x, where a and b are real constants.

We have a * b⁴ = 234 and a * b⁶ = 104.

Dividing the second equation by the first,

we get b² = 4/9, so b = 2/3.

When x = 4, a * b⁴ = 234.

=> a * (2/3)⁴ = 234, a = 1184.625

Hence the explicit rule

is a(n) = 1184.625 * (2/3)^n.