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The product of three consecutive terms o...

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the secon 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

A

24

B

28

C

36

D

32

Text Solution

Verified by Experts

The correct Answer is:
B
`(a)/( r ) xx a xx a r =512`
`a^3=512`
`a=8`
`((a)/®+4),(a+4),(ar)ro A.P`.
`2(a+4)=(a)/(r ) +4+ar`.
`24=(8)/(r ) +4+8r`
`8r +(8)/(r ) =20`
`2r +(2)/( r ) =5`.
`2r ^2-5r+2=0`
`r=2,(1)/(2)`
Number are 4,8,16
sum =28.
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