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The coefficient of x 5 in (1 +2x+3x 2 +........) -3/2 is

The coefficient of x5 in (1 +2x+3x2+........)-3/2 is 

Grade:11

2 Answers

Prasant Sahu
19 Points
5 years ago
The series is: (1 +2x+3x2+........)-3/2  
There are two series in the expression, one is the number series: (1+2+3+.....) and other one is alphbetical series : (x^0+x^1+x^2+.........), and it is observed that the coefficient of x is greater by one than the exponent . Therefore , the answer is 6.
Vaddi Harshitha
35 Points
5 years ago
the terms in the equation is in the form of (n+1)Xn form 
therefore,  we need the coefficient of X5
then (5+1)X5=6X5 and it is multipllpying with -3/2 
therefore the coefficient is -9
 

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