wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

(1+x)nnx1 is divisible by (where n ϵN)

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
All of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B
(1+x)n=1+nx+n(n1)2!x2+n(n2)3!x3+
(1+x)nnx1
=x2[n(n1)2!+n(n1)(n2)3!x+]
From above it is clear that (1+x)nnx1 is divisible by x2
Trick : (1+x)nnx1. Put n=2 and x=3; Then 422.31=9 is not divisible by 6, 54 but divisible by 9.
Which is given by option (b) i.e., x2=9

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Summation by Sigma Method
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon