Chapter 3, Problem 48SGR

To determine

The next three terms of the given arithmetic sequence.

Answer to Problem 48SGR

The next three terms of the given arithmetic sequence are 0.8, 0.6, and 0.4.

Explanation of Solution

Given information:The arithmetic sequence given 1.4, 1.2, 1.0...

Calculation:

The arithmetic sequence given 1.4, 1.2, 1.0…

The common difference of the sequence is

  $d=a_2-a_1=1.2-1.4=-0.2$

Here given, first term $a_1=3$

Second term:

  $a_2=a_1+d=1.4+(-0.2)=1.4-0.2=1.2$ .

Similarly, third term:

  $a_3=1.2+(-0.2)=1.2-0.2=1.0$ ,

Fourth term:

  $a_4=1.0+(-0.2)=1.0-0.2=0.8$

Fifth term:

  $a_5=0.8+(-0.2)=0.8-0.2=0.6$

Sixth term:

  $a_6=0.6+(-0.2)=0.6-0.2=0.4$

  $\therefore$ The next three terms are 0.8, 0.6, and 0.4.