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

# If the ratio of nth terms of two A.P.'s is (2n+8):(5n−3), then the ratio of the sums of their n terms is

A
(2n+18):(5n+3)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(5n1):(2n+18)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(2n+18):(5n1)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(3n+18):(4n+1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C (2n+18):(5n−1)Given ratio of nth terms of A.P.:(2n+8):(5n−3)=2n−2+2+85n−5+5−3=10+(n−1)×22+(n−1)×5Since nth terms of an A.P. is tn=a+(n−1)dFor the A.P. in numerator, a1=10 and d1=2 and denominator a2=2 and d2=5Also, Sum of n terms of an A.P. is Sn=n2[2a+(n−1)d]Sum of n terms of the A.P. in numerator =n2[2×10+(n−1)×2]Sum of n terms of the A.P. in denominator =n2[2×2+(n−1)×5]Then, the ratio of the sums of their n nterms is n2[20+2(n−1)]n2[4+5(n−1)]=2n+185n−1=(2n+18):(5n−1)

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Formula for Sum of N Terms of an AP
MATHEMATICS
Watch in App
Join BYJU'S Learning Program