### Home > A2C > Chapter 2 > Lesson 2.2.2 > Problem2-139

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 nth term?

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

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

The sequence is odd numbers.

The 46th term $= 91$.

The nth term $= 2n − 1$