Let be the smallest positive integer that is both a term of the AP and of the GP

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

Problem

Let

T

be the smallest positive integer that is both a term of the AP

12, 24, 36,\dots

and of the GP

3, 6, 12, 24,\dots

. If

T

is the

k

th term of the AP and also the

j

th term of the GP, the value of

k+j

is (a)

6

(b)

4

(c)

3

(d)

5