Chapter ISG, Problem 7.8STP

To determine

To write a function for the sequence.

Answer to Problem 7.8STP

The function is $y=5{(1.2)}^{x-1}$

Explanation of Solution

Given information:

The sequence is,

5, 6, 7.2, 8.64…

Formula used:

The formula for geometric sequence,

  $a_n=a{r}^{n-1}$

Where, a is first term

r is common ratio

Formula for common ratio,

  $r=\frac{a2}{a1}$

Where, a1 is first tem

a2 is second term

Calculation:

For the common ratio substituting the values,

  $r=\frac{6}{5}$

On solving,

  $r=1.2$

On substituting the values,

  $y=5{(1.2)}^{x-1}$

The function is,

  $y=5{(1.2)}^{x-1}$