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

The ratio between the sum of n terms of two A.P.'s is 7n+1:4n+27. Find the ratio between their nth terms

A
14n+218n+6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
14n+238n+6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
14n68n+23
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
14n+68n+21
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 14n68n+23
From the question, we have
SnSn=a+[(n1)/2]da+[(n1)/2]d=7n+14n+27 .......(1)
TpTp=a+(p1)da+(p1)d
Substitute n12=p1 or n=2p1 in (1)
TpTp=7(2p1)+14(2p1)+27=14p68p+23
Now replacing p by n in the above gives
TnTn=14n68n+23
Hence, option C is correct.

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