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Q.

If the sum and product of the first three terms in an A.P. are 33 and 1155, respectively, then absolute value of its 11th term is

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answer is 25.

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Detailed Solution

Suppose that three terms of an AP areSum of the terms isa−d+a+a+d=333a=33a=11Product of terms is 115511121−d2=1155121−d2=105d2=16d=±4If d=−4, First term is 15, common difference is - 4 , then the 11th term is T11=15+10−4=−25If d=4, first term is 7 and the 11th term is T11=7+40=47
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