Question

Let a, b, c > 1, a³ , b³ and c³ be in A.P., and log_ab, log_ca and log_bc 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 \(\frac{8-8b+c}{10}\) is – 444, then abc is equal to 

(1) 343 

(2) 216 

(3) 343/8 

(4) 125/8

Answer 1

Correct option is (2) 216