Chapter 8.2, Problem 7CYU

To determine

To Write: The sequence4,7,10,13….. and indicate the 23^rdterm.

Answer to Problem 7CYU

Theequation of the sequence is $t=3n+1$ and 23^rdterm is 70.

Explanation of Solution

Given information:

The sequence 4,7,10,13,…..

Calculation:

Term Number(n)	1	2	3	4
Term(t)	4	7	10	13

The difference of the term number is 1 and the common difference of the term is 3.

Any term is 3timesthe term number plus 1.

Thus the equation of the sequence is $t=3n+1$

Using the equation to find the 23^rd term, let n=23.

  $\begin{array}{c}t=3n+1\\ =3\cdot 23+1\\ =69+1\\ =70\end{array}$