ADVANCED EXERCISES - Mathematical Induction
1. Let c(n) = 13 + 23 + ... + n3.
a) Compute c(1), c(2), c(3), c(4), c(5).
b) Conjecture a closed formula for c(n).
c) Prove your conjecture used mathematical induction.
Solution
1. Let c(n) = 13 + 23 + ... + n3.
a) Compute c(1), c(2), c(3), c(4), c(5).
b) Conjecture a closed formula for c(n).
c) Prove your conjecture used mathematical induction.
Solution