Chapter 4.7, Problem 30P

Find the third, fifth, and tenth terms of the sequence described by each explicit formula.

$A(n)=9+(n-1)(8)$

To determine

To find:The value of third, fifth and tenth term.

Answer to Problem 30P

The value of third, fifth and tenth term is 25, 41 and 81

Explanation of Solution

Given:

  $A\left(n\right)=9+\left(n-1\right)\left(8\right)$

Calculation:

Calculate the third term.

  $\begin{array}{c}A\left(3\right)=9+\left(3-1\right)\left(8\right)\\ =9+2\left(8\right)\\ =25\end{array}$

Calculate the fifth term.

  $\begin{array}{c}A\left(5\right)=9+\left(5-1\right)\left(8\right)\\ =9+4\left(8\right)\\ =41\end{array}$

Calculate the tenth term.

  $\begin{array}{c}A\left(10\right)=9+\left(10-1\right)\left(8\right)\\ =9+9\left(8\right)\\ =81\end{array}$

Thus, the value of third, fifth and tenth term is 25, 41 and 81