CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If nr=1Tr=n8(n+1)(n+2)(n+3), and nr=11Tr=n2+3n4pk=1k, then p is equal to

A
n+1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
n
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
n1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2n
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A n+1
Tn=SnSn1
=nr=1Trn1r=1Tr=n(n+1)(n+2)(n+3)8(n1)n(n+1)(n+2)8
=n(n+1)(n+2)2
1Tn=2n(n+1)(n+2)=(n+2)nn(n+1)(n+2)=1n(n+1)1(n+1)(n+2)(i)
Let Vn=1n(n+1)
1Tr=VrVr+1nr=11Tr=(V1Vn+1)nr=11Tr=n2+3n2(n+1)(n+2)
and 4pk=1k=2p(p+1)=2(n+1)(n+2)
p=n+1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Method of Difference
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon