The fourth term of an arithmetic series is 3k, where k is a constant, and the sum
Question:
The fourth term of an arithmetic series is 3k, where k is a constant, and the sum of the first six terms of the series is 7k + 9.
a. Show that the first term of the series is 9 – 8k.
b. Find an expression for the common difference of the series in terms of k. Given that the seventh term of the series is 12, calculate:
c. The value of k
d. The sum of the first 20 terms of the series.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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