| Exam Board | WJEC |
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| Module | Further Unit 1 (Further Unit 1) |
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| Year | 2019 |
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| Session | June |
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| Topic | Sequences and series, recurrence and convergence |
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7. (a) Find an expression for \(\sum _ { r = 1 } ^ { 2 m } ( r + 2 ) ^ { 2 }\) in the form \(\frac { 1 } { 3 } m \left( a m ^ { 2 } + b m + c \right)\), where \(a , b , c\) are integers whose values are to be determined.
(b) Hence, calculate \(\sum _ { r = 1 } ^ { 20 } ( r + 2 ) ^ { 2 }\).