Chapter 8.2, Problem 6CYU

To determine

To Write: The sequence6,12,18,24…..and indicate the 11^th term

Answer to Problem 6CYU

Theequation of the sequence is $t=6n$ and 11^th term is 66.

Explanation of Solution

Given information:

The sequence 6,12,18,24,…..

Calculation:

Term Number(n)	1	2	3	4
Term(t)	6	12	18	24

The difference of the term number is 1 and the common difference of the term is 6.

Any term is 6timesthe term number.

Thus the equation of the sequence is $t=6n$

Using the equation to find the 11^th term, let n=11.

  $\begin{array}{c}t=6n\\ =6\cdot 11\\ =66\end{array}$