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Sequences and Series question

2023 · 30 Jan · Shift 2 · Q27

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JEE Main
Mathematics
Sequences and Series
2023 · 30 Jan · Shift 2 · Q27

Sequences and Series question

2023 · 30 Jan · Shift 2 · Q27

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

a, b, c\gt 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 :

A
343
B
216
C
$\frac{343}{8}$
D
$\frac{125}{8}$

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