QuestionDetermine the common ratio of the geometric sequence: 243, 27, 3, $\frac{1}{3}$ , $\frac{1}{27}$ . A. 3 B. $\frac{1}{3}$ C. $\frac{1}{9}$ D. 9

Studdy Solution

STEP 1

Assumptions1. The given sequence is a geometric sequence. . A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

STEP 2

To find the common ratio in a geometric sequence, we divide any term by the previous term.
$Common\, ratio = \frac{Term_{n}}{Term_{n-1}}$

STEP 3

Let's use the first two terms of the sequence to calculate the common ratio.
$Common\, ratio = \frac{27}{243}$

STEP 4

Calculate the common ratio.
$Common\, ratio = \frac{27}{243} = \frac{1}{9}$ The common ratio for this geometric sequence is $\frac{1}{9}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms