JEE Main 2019 Mathematics question

MathematicsSequence and SeriesJEE Main 2019

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is:

Answer: (B)

Solution

Middle term 8; 8/r + 4, 12, 8r in A.P. ⇒ r = 2: 4 + 8 + 16.

Question ID VK-010361