Let Q(n)=∑k=0nk4−∑k=0n−1k4Q(n) = \sum_{k=0}^{n} k^4 - \sum_{k=0}^{n-1} k^4Q(n)=∑k=0nk4−∑k=0n−1k4 where nnn is a positive integer.
Find Q(2)Q(2)Q(2) and Q(5)Q(5)Q(5).
Solve the equation Q(n)=2.56×1010Q(n) = 2.56 \times 10^{10}Q(n)=2.56×1010.
Practise Edexcel A Level Maths 3.6 Sigma Notation with exam-style questions for A Level Maths. 7 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.