Between the numbers and three arithmetic means are inserted in such a way that the…

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Between the numbers

2

and

p

three arithmetic means are inserted in such a way that the second mean equals

8

. (i) Find the common difference of the resulting arithmetic progression. (ii) Determine the value of

p

. (iii) List all the terms of the progression, including

2

and

p

, in their natural order.