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Prove that 3 + 3 ? 5 + 3 ? 52+ ??? + 3 ? 5n=3(5n+l?1)/4
Chapter 5, Problem 7E(choose chapter or problem)
QUESTION:
Problem 7E
Prove that 3 + 3 ∙ 5 + 3 ∙ 52+ ∙∙∙ + 3 ∙ 5n=3(5n+l−1)/4 whenever n is a nonnegative integer.
Questions & Answers
QUESTION:
Problem 7E
Prove that 3 + 3 ∙ 5 + 3 ∙ 52+ ∙∙∙ + 3 ∙ 5n=3(5n+l−1)/4 whenever n is a nonnegative integer.
ANSWER:
Step 1 of 3
Mathematical Induction is a technique used to prove the statements. The statement is first proved correct for the base value. Then assuming that the value is true for some value , it is proved that the value is true for too.