The first three terms of a sequence are

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

5,\;5+k,\;5+3k

. For which value(s) of

k

does this sequence form a geometric progression? (a)

k=5

only (b)

k=0\text{ or }k=5

(c)

k=-\dfrac{5}{3}

(d)

k=0

only