Questions
The two successive terms in the expansion of (1 + x)24 whose coefficients are in the ratio 1:4 are
a
3rd and 4th
b
4th and 5th
c
5th and 6th
d
6th and 7t}r
detailed solution
Correct option is C
Given expression is (1+x)24 Let two successive terms are (r + 1)th and (r + 2)thterms ⇒ Tr+1=24Crxr and Tr+2=24Cr+1xr+1Now, ratio of coefficients = 1 ⇒ 24Cr 24Cr+1=14⇒r+124−r=14⇒ 4r+4=24−r⇒r=4.'. Required terms are 5th and 6th.Talk to our academic expert!
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The coefficient of x4 in the expansion of is
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