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

Mathematics

2 answers:

Alja [10]3 years ago

4 0

A6=3*4^ (6-1)=3*4^5=3*1024=3072

the answer is C

atroni [7]3 years ago

4 0

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.

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