Chapter 8.3, Problem 2E

To determine

How can we determine the geometric sequence by its graph?

Answer to Problem 2E

the graph of geometric sequence starts and increases or decreases gradually, like exponential graph.

Explanation of Solution

Given information:

A geometric sequence.

The nth terms of GP is:

  $a_n=a\cdot r^{n-1}$

Where,

a= first term,

r= common ratio,

The formula for nth term in GP, shows that r is multiplied with preceding term to make succeeding term,

So, the graph of geometric sequence starts and increases or decreases gradually, like exponential graph.

  

the graph of geometric sequence starts and increases or decreases gradually, like exponential graph.