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astraxan [27]
10 months ago
12

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

Mathematics
1 answer:
sertanlavr [38]10 months ago
6 0

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

<h3>What is a geometric sequence?</h3>

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

#SPJ1

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