wiz-icon
MyQuestionIcon
MyQuestionIcon
6
You visited us 6 times! Enjoying our articles? Unlock Full Access!
Question

If the sum of n terms of an A.P. is nA+n2B, where A, B are constants, then its common difference will be
[MNR 1977]

A
A - B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
A + B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

Given that Sn=nA+n2B
Putting n = 1, 2, 3, ..... ......, we get
S1=A+B,S2=2A+4B,S3=3A+9B
..............................................................
..............................................................
Therefore T1=S1=A+B,T2=S2S1=A+3B,T3=S3S2=A+5B,
..............................................................
..............................................................
Hence the sequence is (A+B)(A+3B),(A+5B),.....
Here a = A + B and common difference d = 2B.

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