O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2018 · Q214 Marks
The first four terms, u₁, u₂, u₃ and u₄, in a sequence of numbers are given below. u₁ = 1 × 3 + 2² = 7 u₂ = 2 × 4 + 3² = 17 u₃ = 3 × 5 + 4² = 31 u₄ = 4 × 6 + 5² = 49
- (a)Evaluate u₅.[1]
- (b)The nth term of the sequence, u_n, is of the form n(n+p) + (n + q)². Write down the value of p and the value of q.[1]
- (c)u_n can also be written in the form An² + Bn + C. Find the values of A, B and C.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [1] 71
- [1] [p=] 2 [q=] 1 Both correct
- [1] B1 for two correct
- [1] A=2 B=4 C=1
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