JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

Let

a, b, c>1 \,\, a^3, b^3

and

c^3

be in A.P., and

\log _a b

\log _c a

and

\log _b c

be in G.P. If the sum of first 20 terms of an A.P., whose first term is

\frac{a+4 b+c}{3}

and the common difference is

\frac{a-8 b+c}{10}

is -444 , then

a b c

is equal to:

View answer and explanation

Correct option: D

216

Option D (216) is correct because using the given conditions, it can be shown that a=b=c=6, and thus abc = 216.

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a, b, c

\frac{3}{4}