A-Level
EDEXCEL
Mathematics & Further Mathematics
May 2022
10 Marks
QP-202205-Further Mathematics-UFP1 · Question 9
Question (excerpt):
32 9. (i) A sequence of numbers is defined by u1 = 3 un + 1 = 2un – 2n + 1 n 1 Prove by induction that, for n ∈ un = 5 × 2n – 1 – n × 2n (5) (ii) Prove by induction that, for n ∈ f(n) = 5…
32 9. (i) A sequence of numbers is defined by u1 = 3 un + 1 = 2un – 2n + 1 n 1 Prove by induction that, for n ∈ un = 5 × 2n – 1 – n × 2n (5) (ii) Prove by induction that, for n ∈ f(n) = 5…
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