(a) Find the first three terms, in ascending powers of x, of the binomial expansion of (1 - 3x)-1/2.
(b) State the range of values of x for which the expansion is valid.
From Paper 1: Pure Mathematics
138 marks
(a) A geometric series has sum to infinity 8. The sum of its first two terms is 6. Find the two possible values of the common ratio and the corresponding first terms.
(b) Find the sum of all the integers from 1 to 200 inclusive that are NOT divisible by 3.
From Paper 2: Pure and Mechanics
56 marks
(a) Show that Σr=1n (3r - 1) = (n(3n + 1))/2.
(b) Find the smallest value of n for which Σr=1n (3r - 1) > 1000.
From Paper 3: Pure and Statistics
67 marks
(a) Find the first four terms, in ascending powers of x, of the expansion of (1 + 2x)8.
(b) Use your expansion with a suitable value of x to estimate 1.028, giving your answer to 6 decimal places.
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This paper is written by Plasmo in the style of the AQA A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.
Sequences and series Exam Questions: AQA A-Level Maths | Plasmo