Prove that 12 + 32 + 52 + …n3 =(2 n2 + 1)2 = (n + 1) (2 n + 1)(2 n + 3)/3 whenever n is a nonnegative integer.

W eekly Notes Math 1100.140,84 0 Week one Chapters p.1 The Real numbers and their properties p.2 Integer exponents and scientific notation Solve vs. Simplify o Solve Obtaining a value or a set of values, sometimes a graph or number line. An algebraic solution will include >, Implies o Є Element of o ⊂ Subset of o [ ] Includes endpoints o ( ) Does not include endpoints Types of Real Numbers and Their Importance o Natural N Counting numbers, starting at 1 {1, 2, 3…} o Whole W Counting numbers, starting with 0 {0, 1, 2…} o Integer Z Whole numbers, including negatives {…-1, 0, 1…} o Rational Q Any number that can be written as a ratio .872, ½, .3 o Irrational Q Any number that cannot be written as a ration, i.e., not a rational number √2, π P.1.1. 1. An integer that is not wh