Chapter 10, Problem 9PFA

To determine

To calculate the 5^th term

Answer to Problem 9PFA

The fifth term is 11.

Explanation of Solution

Given information:

The first term is,

  $a_1^{}=5$

The n^th term is,

  $a_{n+1}=1.5+a_n$

Formula used:

Equation solving

Calculation:

For the second term,

  $a_2=1.5+a_1$

Substituting the values,

  $a_2=1.5+5$

On solving,

  $a_2=6.5$

For third term,

  $a_3=1.5+a_2$

Substituting the values,

  $a_3=1.5+6.5$

On solving,

  $a_3=8$

For fourth term,

  $a_4=1.5+a_3$

Substituting the values,

  $a_4=1.5+8$

On solving,

  $a_4=9.5$

For fifth term,

  $a_5=1.5+a_4$

Substituting the values,

  $a_5=1.5+9.5$

On solving,

  $a_5=11$

Hence, the fifth term is 11.