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Grade Select GradeAlgebra

plz can u give me solution of q48 and q49

Question image for plz can u give me solution of q48 and q49
Profile image of Siddharth Muraleedharan
10 Years agoGrade Select Grade
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4 Answers

Profile image of Akshay
ApprovedApproved Tutor Answer10 Years ago
q49. Sn will be equal to coff. of x in : (1+1/x)n.(1+x)n = ∑nCi*nCi+1 (that is power xi+1 from second bracket multiplied by power xi of first, and i varying from 0 to n-1. (1+1/x)n.(1+x)n = (1+x)2n/xn. Hence Sn(coff. of x = 2nCn+1.Put Sn+1 and Sn and you will get a quardatic equation and n=2 or 4.
Profile image of Akshay
10 Years ago
q48. Assume ((x+1)2-1)n = ∑ nCi (1+x)2n-2i. cofficient of xn will be the series in question.
Expand (x+1)2 in LHS and solve.
ATB.
Profile image of Akshay
10 Years ago
 will be the series in question.n. cofficient of x2n-2i (-1)j(1+x)iCn = ∑ n-1)2q48. Assume ((x+1)
Expand (x+1)2 in LHS and solve.
ATB.
Profile image of Akshay
10 Years ago
Add (-1)^j is summation term.