Question

PLEASEE HELP AGAINNNN!!!! If a1 = 4 and an = -4an - 1 then find the value of a6

Answer 1

The 6th term of the geometric sequence is of -4096.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, we have that:

• The first term is $a_1 = 4$.

• $a_n = -4a_{n - 1}$, hence the common ratio is q = -4.

Thus the 6th term of the sequence is found as follows:

$a_6 = a_1q^5 = 4(-4)^5 = -4096$

More can be learned about geometric sequences at brainly.com/question/11847927

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