Problem 11E

Prove the statements by mathematical induction.

Exercise

for all integers n ≥ 1.

Inductive Reasoning – degrees of probability o Good argument (Strong) Technically all are invalid because of the loose connection o Cogent Strong with true premises o Enumerative Induction Generalizations Based on a sample of a group you can generalize about the whole group Criteria: o Sample size. Proportionate to what you’re generalizing Stereotypes: generalizations with small samples o Unbiased/representative Predictions