Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
a
–2,916
b
972
c
8,748
d
–2,920

Respuesta :

Answer:

a

Step-by-step explanation:

a=-4 r=12/-4=-3

T7= ar^n-1

= (-4)(-3)^7-1

=-2916

Lanuel

The first term of this geometric sequence is equal to: A. -2916.

How to calculate the 7th term of a geometric sequence?

Mathematically, a geometric sequence is given by this expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

  • r is the common ratio.
  • a is the first term of a geometric sequence.

Based on the geometric sequence, the first term is equal to -4. Also, the common ratio is given by:

r = 12/-4

r = -3.

For the 7th term, we have:

a₇ = -4 × (-3)⁷⁻¹

a₇ = -4 × (-3)⁶

a₇ = -4 × 729

a₇ = -2916.

Read more on geometric sequence here: brainly.com/question/12630565

#SPJ2