Question

Find the indicated term of the geometric sequence.
a1 = 7, a4 = 189/8 , 8th term

Answer 1

term 4 = ar^3 = 189/8
but a = 7
7r^3 = 189/8
r^3 = 189/56
r^3 = 27/8
r = 3/2

so term(8) = .... , use your formula for term 8

Answer 2

8

Answer 3

16

Answer 4

Using the formula for the nth term of a geometric sequence:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio between each term.

We know a1 = 7, and we found the common ratio to be r = 3/2.

So, to find the 8th term:

a8 = 7 * (3/2)^(8-1)
a8 = 7 * (3/2)^7
a8 = 7 * 2187/128
a8 = 11907/128
a8 ≈ 93.05

Therefore, the 8th term of the sequence is approximately 93.05.