Question

Which represent geometric sequences? Check all that apply.

Answer 1

The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.

What is a geometric sequence?

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).

$\mathbf{a_n = a_{n-1}\times r}$ or $\mathbf{a_n = a_{1}\times r^{n-1}}$

$\mathbf{a_2 = a_{2-1}\times r}$

$\mathbf{a_2 = a_{1}\times r}$

$\mathbf{ r= \dfrac{a_2}{a_1}}$

From the options given, the options that have geometric sequences are:

• 3/16, 3/8, 3/4, 3/2

r = (3/8)/(3/16) = (3/4)/(3/8) = 2  (proves that it is a geometric sequence)

• 3, 9, 27, 81
• r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)

Learn more about geometric sequence here:

brainly.com/question/1509142

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