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Q.

For x>0, if pth term is the first negative term in the expansion of 1+3x522/3 and in the expansion of 1-3x522/3 from rth term onwards all the terms are positive, then the number of terms in the expansion of px+rxpr is ____

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answer is 101.

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Detailed Solution

first negative term in the expansion of 1+3x522/3is 223+3=10 th term p=10

 

In the expansion of 1-3x522/3 first 9 terms are negative and 10 th term onwards all terms have positive value

px+rxpr=10x+10x100Number of terms=101

 

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For x>0, if pth term is the first negative term in the expansion of 1+3x522/3 and in the expansion of 1-3x522/3 from rth term onwards all the terms are positive, then the number of terms in the expansion of px+rxpr is ____