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Divide 45 into three terms which are in A.P in such a way that the product of the last two terms is 256.

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Divide 45 into three terms which are in A.P in such a way that the product of the last two terms is 256. 

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Let the three terms in A.P be a -d, a, a + d. 

∴ The three terms are 15 -d, 15, 15 + d 

 It is given that the product of last two terms is 255. 

∴ Three terms are 13,15 and 17 

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