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Prove that 1 14 + 1 47 + 1 710 + + 1 (3n2)(3n+1) = n 3n+1 for every positive integer n
Chapter 4, Problem 3(choose chapter or problem)
QUESTION:
Prove that 1 14 + 1 47 + 1 710 + + 1 (3n2)(3n+1) = n 3n+1 for every positive integer n.
Questions & Answers
QUESTION:
Prove that 1 14 + 1 47 + 1 710 + + 1 (3n2)(3n+1) = n 3n+1 for every positive integer n.
ANSWER:Step 1 of 3
By using the principles of mathematical induction, the given sum of the fraction can be proved. The principle of mathematical induction is stated as follows.
for every positive integer , is true if the following satisfies.
1. is true
2. The statement is true.