Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
a
1
,
a
2
,
a
3
,
…
a_1, a_2, a_3, \dots
a
1
,
a
2
,
a
3
,
…
be an A.P. with
a
6
=
2
a_6 = 2
a
6
=
2
. Then the common difference of this A.P., which maximises the product
a
1
a
4
a
5
a_1 a_4 a_5
a
1
a
4
a
5
, is: (a)
3
2
\frac{3}{2}
2
3
(b)
8
5
\frac{8}{5}
5
8
(c)
6
5
\frac{6}{5}
5
6
(d)
2
3
\frac{2}{3}
3
2
(a)
3
2
\frac{3}{2}
2
3
(b)
8
5
\frac{8}{5}
5
8
(c)
6
5
\frac{6}{5}
5
6
(d)
2
3
\frac{2}{3}
3
2
Browse the problem library