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Q.

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

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answer is 28.

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Detailed Solution

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ar,  a,  ar →GP⇒ar.a.ar=52⇒a=8, 8r+4,  8+4,  8r  →AP, 24=8r+4+8r⇒r=2, 12

∴terms 4,  8, 16   sum=28

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