What is the statement P
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4.1 Mathematical Induction
¸n(n+1)(2n+1)
6
1. Let P (n) be the statement that 1² +2² +3² +...+ n² =
integer n.
a) What is the statement P (1)?
b) Show that P (1) is true, completing the basis step of the proof.
c) What is the inductive hypothesis?
d) What do you need to prove in the inductive step?
e) Complete the inductive step, identifying where you use the inductive hypothesis.
for the positive
4.1 Mathematical Induction
¸n(n+1)(2n+1)
6
1. Let P (n) be the statement that 1² +2² +3² +...+ n² =
integer n.
a) What is the statement P (1)?
b) Show that P (1) is true, completing the basis step of the proof.
c) What is the inductive hypothesis?
d) What do you need to prove in the inductive step?
e) Complete the inductive step, identifying where you use the inductive hypothesis.
for the positive