Question

Find the specified nth term of each geometric sequence.


a4 = 10, r = 2, n = 9

Answer 1

320

Explanation:

Answer 2

`a_(n) = 1.25(2)^(n-1)`

Explanation:

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The formula of Geometric Sequence is:
`a_(n) = a_(1)(r)^(n-1)`

We have given value of 4th term i.e.

`a_(4) = a_(1)(2)^(4-1)`

⇒
`10 = a_(1) (2)^(3)`

⇒
`a_(1) = (10)/((2)^(3))`

⇒ a₁ = 1.25

Hence, the nth term of each sequence is:
`a_(n) = 1.25(2)^(n-1)`