OCR MEI Paper 3 2023 June — Question 13

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2023
SessionJune
TopicSequences and series, recurrence and convergence

13 Prove that Euler's approximate formula, as given in line 13, when applied to \(\sum _ { \mathrm { r } = 1 } ^ { \mathrm { n } } \mathrm { r } ^ { 2 }\) gives exactly \(\frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 }\).