SOLUTION: Let Tn be the nth triangular number, Qn be the nth square number and Pn be the nth pentagonal number. (a) Show that 3 Pn= T 3n-1 (b) Show that Pn-Qn = Tn-1 and hence that P3n-3Pn

SOLUTION: Let Tn be the nth triangular number, Qn be the nth square number and Pn be the nth pentagonal number. (a) Show that 3 Pn= T 3n-1 (b) Show that Pn-Qn = Tn-1 and hence that P3n-3Pn

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Question 1182883: Let Tn be the nth triangular number, Qn be the nth square number and Pn be the nth pentagonal number.
(a) Show that 3 Pn= T 3n-1
(b) Show that Pn-Qn = Tn-1 and hence that P3n-3Pn= Q3n

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

(a)
(b)
===>
===>
Therefore, , from part (a).
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