CPM Homework Help : A2C Problem 2-139

Given that $n$ is the length of the bottom edge of the backward L-shaped figures below, what sequence is generated by the total number of dots in each figure? What is the $46^{th}$ term, or $t\left(46\right)$ , of this sequence? The n^th term?

Hint:

Start by finding the rule for the sequence.It may be helpful to copy and complete the table below.

$n$	$1$	$2$	$...$
$t\left(n\right)$	$1$	$3$	$...$

Answer:

The sequence is odd numbers.

The 46^th term $= 91$ .

The n^th term $= 2n − 1$

Explore what these answers mean.

Complete the table in the eTool below to solve the problem.
Click the link at right for the full version of the eTool: A2C 2-139 HW eTool