Chapter 1.2B, Problem 5A

Assessment

Observe the following pattern:

$\begin{array}{l}1+3=2^2,\\ 1+3+5=3^2,\\ 1+3+5+7=4^2\end{array}$

a. Conjecture a generalization based on this pattern.

b. Based on the generalization in (a), find

$1+3+5+7+\mathrm{....}+35.$