Questions
The two consecutive terms whose coefficients in the expanssion of are equal, are
a
37th, 38th
b
38th, 39th
c
47th, 48th
d
48th, 49th
detailed solution
Correct option is B
Suppose coefficients of (r+1)th and (r+2)th terms in the expansion of (3 + 2x)94 are equal. Then 94Cr394−r2r=94Cr+1394−(r+1)2r+1⇒ 94!r!(94−r)!⋅(r+1)!(94−r−1)!94!=23⇒ r+194−r=23⇒3r+3=188−2r⇒ 5r=185⇒r=37Talk to our academic expert!
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lf the term independent of x in the expansion of is k, then 18k is equal to
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