Series (Edexcel A Level Further Maths: Core Pure)

Exam Questions

10 mins2 questions
1
Sme Calculator
5 marks

Prove that

sum from r equals 1 to n of fraction numerator 1 over denominator left parenthesis r plus 1 right parenthesis left parenthesis r plus 3 right parenthesis end fraction equals fraction numerator n left parenthesis a n plus b right parenthesis over denominator 12 left parenthesis n plus 2 right parenthesis left parenthesis n plus 3 right parenthesis end fraction

where a and b are constants to be found.

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2
Sme Calculator
5 marks

Prove that, for n space element of straight integer numbers comma space n greater or equal than 0

sum from r equals 0 to n of fraction numerator 1 over denominator left parenthesis r plus 1 right parenthesis left parenthesis r plus 2 right parenthesis left parenthesis r plus 3 right parenthesis end fraction equals fraction numerator left parenthesis n plus a right parenthesis left parenthesis n plus b right parenthesis over denominator c left parenthesis n plus 2 right parenthesis left parenthesis n plus 3 right parenthesis end fraction

where a comma space b and c are integers to be found.

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