View Solution Find the 10th term in the binomial expansion of(2x2+1x)12. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE,...
To solve the problem, we need to find the value of r such that the coefficients of the r-th and (r+1)-th terms in the expansion of (3+7x)29 are equal. 1. Identify the General Term: The n-th term in the binomial expansion of (a+b)n is given by: Tk=(nk)an−kbk For ou...
1.Understanding the Binomial Expansion: The binomial expansion of(a+b)nis given by: Tk=(nk−1)an−(k−1)bk−1 whereTkis thek-th term,nis the power,aandbare the terms in the binomial. 2.Identifying the Terms: For our case,a=3,b=7x, andn=29. ...
If the rth term in the expansion of (x/3-2/x^(2))^(10 contains x^(4), then r is equal to :
To solve the problem, we need to find the value ofrsuch thatx−17occurs in the expansion of(x4−1x3)15. 1.Identify the General Term: The general termTr+1in the binomial expansion of(a+b)nis given by: Tr+1=(nr)an−rbr
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To solve the problem, we need to find the value of r such that the coefficients of the rth term and the (r+1)th term in the expansion of (1+x)20 are in the ratio 1:2. 1. Identify the General Term: The general term Tr+1 in the expansion of (1+x)20 is given by: Tr+1=...
To solve the problem, we need to find the value of r such that the coefficients of the rth, (r+1)th, and (r+2)th terms in the expansion of (1+x)14 are in arithmetic progression (A.P.). 1. Identify the coefficients: The coefficient of the rth term in the expansion of (1+...