Question

find the 4th term of the geometric sequence when a1=31 and common ratio, r = 4. Round your answer to 2 decimal places, if needed. ​

Answer 1

1984

Explanation:

The formula for the general term of a geometric sequence is given by the formula:

`a_n=a_(1)r^(n-1)`

Where

a_1 is the first term

r is the common ratio

n is the number of term (nth term)

For this problem, we have to find the 4th term, so n = 4.

Also, given the first term (a_1) is 31

and, common ratio (r) is 4

We substitute and find:

`a_n=a_(1)r^(n-1)\\a_4=(31)(4)^(4-1)\\a_(4)=(31)(4)^(3)\\a_4=1984`

Hence,

The 4th term of this sequence is "1984"