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

Let Sn denote the sum of the first n terms of an A.P. if S2n=3Sn then S3n:Sn is equal to

A
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 6
Sn = n2[2a+(n1)d] Sn = n2(2ad+nd)

S2n = 2n2[2a+(2n1)d] S2n = 2n2[2ad+2nd]

S3n = 3n2[2a+(3n1)d] S3n = 3n2[2ad+3nd]

Given S2n = 3. Sn 2n2[2ad+2nd]=3 n2[2ad+nd] 2ad=nd (1)
using (1)
S3n = 6n2d and Sn = n2d
S3n : Sn =6

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