Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of [ +] is :1.1. Show that the middle term in the expansion of is . 3.find a positive value of m for which the coefficient of in the expansion of is 64.the coefficient of three consecutive terms in the expansion of are in he ratio 1:7:42 .find n.5.prove that the term independent of x in the expansion of is ..6.if the 2nd ,3rd ,and 4th terms in the expansion of are respectively 240,720 and 1080 ,find x,a,n.7.find a,if the coefficients of and in the expansion are equal.8.write the number of terms in he expansion of 9-write the middle term in the expansion of [+].10.if a and b are coefficients of in the expansion of and respectively ,then write the relation between a and b.11-if a and b denote the sum of the coefficients in the expansions of and respectively, then write the relation between a and b.12.in the expansion of ,the term independent of x isa) b) c) d)13.if in the expansion of and in the expansion of are equal ,then n=a) 3 b) 4 c)5 d)614-the coefficients of in the expansion of isa) d) none of these15. the coefficient of in the expansion of isa) 14! b) c) d) 16-the coefficient of in the expansion of ++.+ isa) b) c)- d) +17.the number of the erms with integral coefficients in the expansion of ] isa) 100 b)50 c) 150 d)10118-constant term in the expansion of isa) 152 b) -152 c) _252 d)25219-if the coefficients of and in the expansion of are the same,then the value f a isA) b) c) d)20- if a,b,c and d in any binomial expansion be the 6th ,7th ,8th and 9th terms respectively ,then prove that =.