Chapter 7.8, Problem 9LC

To determine

To describe: the similarities and difference between arithmetic and geometric sequence.

Answer to Problem 9LC

Explanation of Solution

Given information:

Calculation:

Arithmetic progression,

Arithmetic progression is a sequence of in which each term after the first is obtained by adding a constant, the constant is called common difference.

The general formula is,

  $a_n=a_1+\left(n-1\right)d$

Here, $n$ is the number of terms.

Geometric progression,

A sequence of non-zero numbers is a geometric progression, if the ratio of any term and its preceding term is always constant.

The general formula is,

  $a_n=a_1{\left(r\right)}^{n-1}$

Here, $n$ is the number of terms.