Question 6 - A-Level Maths

Exam Board	OCR MEI
Module	Further Pure Core AS (Further Pure Core AS)
Year	2022
Session	June
Topic	Sequences and series, recurrence and convergence

Using standard summation formulae, show that \(\sum _ { r = 1 } ^ { n } r ( r + 2 ) = \frac { 1 } { 6 } n ( n + 1 ) ( 2 n + 7 )\).
Use induction to prove the result in part (a).