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, then the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is:
A
36
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B
32
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C
28
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D
24
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Solution
The correct option is C28 Let three terms of G.P. are ar,a,ar ∴a3=512 ⇒a=8
Now, term of G.P. are 8r,8,8r
As per question, 8r+4,12,8r are in A.P. ∴24=8r+(8r+4) ⇒2r2−5r+2=0 ⇒r=2,12 ∴16,8,4 are the 3 terms of given G.P.
Hence, sum of terms = 28