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 { {\a}-8 {\b}+ {\c}}/{10} is -444, then abc is equal to [30-Jan-2023 Shift 2]

JEE Mains 30-Jan-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 77 of 90

Marks: +1, -0

Let a,b,c>1,a3,b3 and c3 be in A.P., and logab, logca and logbc be in G.P. If the sum of first 20 terms of an A.P., whose first term is ‌

a+4b+c

and the common difference is ‌

a−8b+c

is −444, then abc is equal to

[30-Jan-2023 Shift 2]

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