plumiSigma notation: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 4.4 Sigma notation, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Sigma notation, as a list
- June 2024, Pure 2, Q4 (5 marks): A sequence u1, u2, u3, ... is defined by u ku u n n 1 1 5 6 where k is a positive constant. Given that u3 = –1 (a) show that 6 5 4 0 2 k k (2) (b) Hence (i) fin
- June 2023, Pure 2, Q2 (6 marks): A sequence u1, u2, u3 ... is defined by u1 = 35 1 = 7cos 5( 1) 2 n n n nπ u u + + − − (a) (i) Show that u2 = 40 (ii) Find the value of u3 and the va
- June 2022, Pure 2, Q3 (4 marks): A sequence of terms a1, a2, a3, … is defined by a1 = 3 an+1 = 8 − an (a) (i) Show that this sequence is periodic. (ii) State the order of this periodic sequence
- November 2021, Pure 2, Q9 (3 marks): Show that ∑ ∞ 3 4 180 9 28 ( ) = n n cos (3) n = 2
- November 2020, Pure 1, Q13 (7 marks): A sequence of numbers a1, a2, a3, … is defined by an+1 = k a a n n + ( ) 2 n where k is a constant. Given that ● the sequence is a periodic sequence of orde
- June 2019, Pure 2, Q8 (6 marks): (i) Find the value of 20 1 2 4 × ⎛ ⎝⎜ ⎞ ⎠⎟ = ∞ ∑ r r (3) (ii) Show that log5 1 48 2 1 2 n n n + + ⎛ ⎝⎜ ⎞ ⎠⎟= =∑ (3)
- June 2018, Pure 2, Q4 (7 marks): (i) Show that 3 5 2 131798 1 16 + + ( ) = =∑ r r r (4) (ii) A sequence u1, u2, u3, … is defined by u u u n n + = = 1 1 1 2 3 , Find the exact value of ur r=∑ 1
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