The infinite series Σr=0∞ (x/3 - 1 )r is convergent.
(a) Find the set of possible values of x.
(b) Find the sum to infinity in terms of x, simplifying your answer.
(c) Find the sum to infinity when x = 4.
From Paper 2: Pure Mathematics and Statistics
15 marks
In the expansion of (2 + kx)6, the coefficient of x2 is 240.
(a) Find the possible values of k.
(b) Given k > 0, find the coefficient of x3.
From Paper 3: Pure Mathematics and Mechanics
27 marks
A sequence is defined by u1 = 2 and un+1 = 1/(1 - un).
(a) Find u2, u3 and u4.
(b) Describe the behaviour of the sequence.
(c) Find Σn=130 un.
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Sequences and series Exam Questions: OCR A-Level Maths | Plasmo