a. Calculate the sum of all the multiples of 3 from 3 to 99 inclusive, 3 +
Question:
a. Calculate the sum of all the multiples of 3 from 3 to 99 inclusive, 3 + 6 + 9 + …+ 99
b. In the arithmetic series 4p + 8p + 12p +…+ 400 where p is a positive integer and a factor of 100,
i. Find, in terms of p, an expression for the number of terms in this series
ii. Show that the sum of this series is 200 + 20000/p
c. Find, in terms of p, the 80th term of the arithmetic sequence (3p + 2), (5p + 3), (7p + 4), … giving your answer in its simplest form.
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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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