Chapter 11.1, Problem 15CYU

To determine

To find out the next three terms of geometric sequence and then graph the sequence.

Answer to Problem 15CYU

The next three terms are 128 , 256 , 512

Explanation of Solution

Given: 8 , 16 , 32 , 64 ,....

Formula used;

  

where r is the commo ratio

  

Calculation:

  $\begin{array}{l}{a}_1=8\\ a_2=16\\ a_3=32\\ a_4=64\\ \\ r=\frac{a_2}{a_1}=\frac{16}{8}=2\\ a_n=a{r}^{n-1}\\ a_5=a{r}^4\\ $ =8{(2)}^4$=128\\ \\ a_6=a{r}^5\\ $ =8{(2)}^5$=256\\ \\ a_7=a{r}^6\\ $ =8{(2)}^6$=512\end{array}$

GRAPH:

  

INTERPRETATION:

According to graph , geometric sequence is increasing in every step.