jee-main 2023 Q64

jee-main · India · session1_30jan_shift2 Arithmetic Sequences and Series Compute Partial Sum of an Arithmetic Sequence

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 $\frac{a + 4b + c}{3}$ and the common difference is $\frac{a - 8b + c}{10}$ is $-444$, then $abc$ is equal to
(1) 343
(2) 216
(3) $\frac{343}{8}$
(4) $\frac{125}{8}$

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 $\frac{a + 4b + c}{3}$ and the common difference is $\frac{a - 8b + c}{10}$ is $-444$, then $abc$ is equal to\\
(1) 343\\
(2) 216\\
(3) $\frac{343}{8}$\\
(4) $\frac{125}{8}$

Paper Questions

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