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1 vote
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

User Ian Lewis
by
8.2k points

2 Answers

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

the answer is C
User Ganesh Bora
by
7.8k points
3 votes

Answer:

C. 3072

Explanation:

The formula of the geometric sequence by
a_(n) = 3 * 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 * 4^(6-1).

i.e.
a_(6) = 3 * 4^(5).

i.e.
a_(6) = 3 * 1024.

i.e.
a_(6) = 3072.

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

User Lambert
by
8.2k points

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