Question

What is the 6th term in the geometric sequence described by this explicit formula?

an = 3 • 4^(n – 1)

A. 248,832
B. 12,288
C. 3072
D. 1024

Answer 1

a6=3*4^ (6-1)=3*4^5=3*1024=3072

the answer is C

Answer 2

Answer:

C. 3072

Step-by-step explanation:

The formula of the geometric sequence by $a_{n} = 3 \times 4^{n-1}$.

It is required to find the 6th term of the geometric series using the above formula.

i.e. we need to find $a_{6}$.

For that we have to substitute the value of n by 6 i.e. put n = 6.

So, $a_{6}= 3 \times 4^{6-1}$.

i.e. $a_{6} = 3 \times 4^{5}$.

i.e. $a_{6} = 3 \times 1024$.

i.e. $a_{6} = 3072$.

Hence, the 6th term of the geometric series is 3072.