Solution Found!
For n 2:: 2, verify the following relations between the pentagonal, square, and
Chapter 2, Problem 11(choose chapter or problem)
QUESTION:
For n 2:: 2, verify the following relations between the pentagonal, square, and triangularnumbers:(a) Pn = tn-l + n2(b) Pn = 3tn-l + n = 2tn-l + tn
Questions & Answers
QUESTION:
For n 2:: 2, verify the following relations between the pentagonal, square, and triangularnumbers:(a) Pn = tn-l + n2(b) Pn = 3tn-l + n = 2tn-l + tn
ANSWER:Step 1 of 3
In the preceding tasks was proven that for each positive integer the triangular numbers are given by formula
...(1)
and the pentagonal numbers are given by formula
...(2)