Mathematics, 11.06.2021 23:10 queenmari49

Problem 6 Let Tn be the nth triangular number, Qn be the nth square number and
Pn be the nth pentagonal number.
(a) Show that 3Pn = T3n-1.
(b) Show that Pn - Qn = Tn-1 and hence that P3n - 3Pn = Q3n.

Answers: 2

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Problem 6 Let Tn be the nth triangular number, Qn be the nth square number and
Pn be the nth...

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More questions: Mathematics Another questions

Problem 6 Let Tn be the nth triangular number, Qn be the nth square number and Pn be the nth pentagonal number. (a) Show that 3Pn = T3n-1. (b) Show that Pn - Qn = Tn-1 and hence that P3n - 3Pn = Q3n.

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Another question on Mathematics

Problem 6 Let Tn be the nth triangular number, Qn be the nth square number and
Pn be the nth pentagonal number.
(a) Show that 3Pn = T3n-1.
(b) Show that Pn - Qn = Tn-1 and hence that P3n - 3Pn = Q3n.