wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Number of rational terms in the expansion of (2+54)100 is

Open in App
Solution

General term in the expansion of (2+54)100 will be
Tr+1=100Cr(2)(100r)/2(4)r/5Tr+1=100Cr(2)(500r)10
Now for the rational term 500r10 has to be an integer
r=0,10,20,,100
Hence there will be 11 rational terms

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon