Let be an A.P

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

Problem

Let

a_1, a_2, a_3, \dots

be an A.P. with

a_6 = 2

. Then the common difference of this A.P., which maximises the product

a_1 a_4 a_5

, is: (a)

\frac{3}{2}

(b)

\frac{8}{5}

(c)

\frac{6}{5}

(d)

\frac{2}{3}