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.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

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

Question Posted: