Chapter 12.3, Problem 6AYU

To determine

Check whether the given statement is true or false.

Answer to Problem 6AYU

Solution:

It is a true statement.

Explanation of Solution

Given:

Statement says that the geometric sequence may be defined recursively.

Calculation:

Definition says that ‘A geometric sequence may be defined recursively as $a_1=a,\frac{a_n}{a_{n-1}}=r$, or $a_n=r{a}_{n-1}$, where $a_1=a$ and $r\ne 0$ are real numbers. The number $a_1$ is the first term and the nonzero number $r$ is called the common ratio’.

Hence the statement is true.