Chapter 4.6, Problem 42E

To determine

To write: the next five terms and graph the sequence.

Answer to Problem 42E

The sequence is $10,12,14,16,18,\dots$

The graph of the sequence:

  

Explanation of Solution

Given:

The first row has 10 dominoes.

Calculation:

Consider the first row of a dominoes display has 10 dominoes. Each row after first has two more dominoes than the row before it.

Let us assume that the common difference is $d$

So, $d=2$ and $a_1=10$

Now, the second term is

  $a_2=a_1+d=10+2$

  $=12$

Similarly, third term is

  $a_3=a_2+d$

  $=12+2$

  $=14$

Similarly, fourth term is

  $a_4=a_3+d$

  $=14+2$

  $=16$

And fifth term is

  $a_5=a_4+d$

  $=16+2$

  $=18$

Therefore, the sequence is $10,12,14,16,18,\dots$

The graph of the sequence:

  

Conclusion:

Therefore, the sequence is $10,12,14,16,18,\dots$

The graph of the sequence is drawn.