O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2011 · Q184 Marks
The first four terms, u₁, u₂, u₃ and u₄, in a sequence of numbers are given by u₁ = 1 × 2 + 3² = 11 u₂ = 2 × 3 + 4² = 22 u₃ = 3 × 4 + 5² = 37 u₄ = 4 × 5 + 6² = 56.
- (a)Evaluate u₅.[1]
- (b)Write down an expression, in terms of n, for the nth term, uₙ, of the sequence.[1]
- (c)Given that uₙ = An² + Bn + C, find the values of A, B and C.[2]
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