Asked by Kayelyn Rooney on Jul 09, 2024

Verified

Find the common ratio of the geometric sequence. $8π1 ,(8π)_{2}1 ,(8π)_{3}1 ,(8π)_{4}1 ,....$

A) $π_{2}1 $

B) $π1 $

C) $8π1 $

D) $81 $

E) $(8π)_{2}1 $

A) $π_{2}1 $

B) $π1 $

C) $8π1 $

D) $81 $

E) $(8π)_{2}1 $

Common Ratio

In a geometric sequence, the constant factor by which each term is multiplied to get the next term.

Geometric Sequence

A series of numbers in which each subsequent number is obtained by multiplying the preceding number by a constant, non-zero value known as the common ratio.

- Ascertain the standard ratio integral to geometric progressions.

Verified Answer

VB

Valentine Bouyer

1 week ago

Final Answer :

C

Explanation :

In a geometric sequence, each term is obtained by multiplying the previous term by a constant called the common ratio. We can find the common ratio of this sequence by dividing any term by its previous term. For example:

$8π1 (8π)_{2}1 =(8π)_{2}8π =8π1 $

So the common ratio is $\frac{1}{8\pi}$, which is choice (C).

$8π1 (8π)_{2}1 =(8π)_{2}8π =8π1 $

So the common ratio is $\frac{1}{8\pi}$, which is choice (C).

## Learning Objectives

- Ascertain the standard ratio integral to geometric progressions.

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