Question

What is the common ratio of the geometric sequence below?

Answer 1

Answer:

$\textbf{Option C - 0.1 }$

Step-by-step explanation:

$\textup{A geometric series is given by}\\ a, ar, ar^2, ar^3,. . . , ar^{n-1}, ar^n \\\textup{\textbf{Geometric progression or GP is a sequence of numbers in which the next number in the sequence is obtained by multiplying a number to the previous number in the sequence.}}$

$\textup{This number is constant through out the sequence and is denoted by r . it is given by r = \frac{ar^n}{ar^{n-1}} }$

$\textup{Here, the given sequence is: 70, 7, 0.7,... }$

$i.e., a = 70, ar = 7$

$\textup{Hence, r = \frac{ar}{a} = \frac{7}{70} }$

$= \frac{1}{10} = 0.1$