9709 · topic questions
Series
12 past-paper questions on Series
An arithmetic progression has first term a and common difference 2. The Nth term is 55 and the sum of the first 3N terms is 5760.…
Find the sum of all the terms of the arithmetic progression whose values are between 25 and 100.
The fourth and sixth terms of a geometric progression are 36 and 6 respectively. The common ratio of the progression is positive.…
The third term of a geometric progression is 18 and the sum of the first three terms is 26. It is given that the common ratio is…
The first term of a convergent geometric progression is 10. The sum of the first 4 terms of the progression is p and the sum of…
The coefficient of $\frac{1}{x}$ in the expansion of $(kx + \frac{1}{x})^5 + (1 - \frac{2}{x})^8$ is 74. Find the value of the…
The sum of the first 77 terms of the arithmetic progression is denoted by S77. The sum of the first 10 terms of the geometric…
In the expansion of (kx+2/x)^4, where k is a positive constant, the term independent of x is equal to 150. Find the value of k…
The first three terms of a geometric progression are 25, 4q-1 and 13-q, where q is a positive constant. Find the sum to infinity…
The coefficient of x⁷ in the expansion of (px² + (4/px))⁵ is 1280. Find the value of the constant p.
The first three terms of an arithmetic progression are 25, 4p – 1 and 13-p, where p is a constant. Find the value of the tenth…
Hence obtain the expansion of f(x) in ascending powers of x, up to and including the term in x².
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Series (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Series. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
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