Problem 89
Question
What is the common ratio in a geometric sequence?
Step-by-Step Solution
Verified Answer
The common ratio in a geometric sequence is found by dividing any term by the previous term.
1Step 1: Understanding 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. This number is called the 'common ratio'.
2Step 2: Finding the Common Ratio
In a geometric sequence, to find the common ratio, you divide any term by the previous term. The result is the common ratio. Mathematically, if the sequence is \(a, ar, ar^2, ar^3, ...etc.\) where 'a' is the first term and 'r' is the common ratio, then \(r = a_{n+1} / a_n \).
Other exercises in this chapter
Problem 88
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