Let-S-n-denote-the-sum-of-first-n-terms-of-an-AP-If-S-2n-3-S-n-then-the-ratio-S-3n-S-n-is-equal-to- Tinku Tara June 14, 2023 None 0 Comments FacebookTweetPin Question Number 46918 by 786786AM last updated on 02/Nov/18 LetSndenotethesumoffirstntermsofanAP.IfS2n=3Sn,thentheratioS3nSnisequalto Answered by tanmay.chaudhury50@gmail.com last updated on 02/Nov/18 s2nsn=2n2[2a+(2n−1)d]n2[2a+(n−1)d]=34a+(4n−2)d=6a+(3n−3)dd(4n−2−3n+3)=2aa=(n+1)d2s3nsn=3n2[2a+(3n−1)d]n2[2a+(n−1)d]=3[(n+1)d+(3n−1)d][(n+1)d+(n−1)d]=3×d(n+1+3n−1)d(n+1+n−1)=3×4n2n=6 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: X-can-finish-a-work-in-15-days-at-8hrs-a-day-Y-can-finish-it-in-6-2-3-days-at-9-hrs-a-day-Find-in-how-many-days-X-and-Y-can-finish-it-working-together-10-hrs-a-day-Next Next post: If-the-sides-of-a-triangle-are-in-AP-and-the-greatest-angle-of-the-triangle-is-double-the-smallest-angle-the-ratio-of-the-sides-of-the-triangle-is- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.
![(s_(2n) /s_n )=((((2n)/2)[2a+(2n−1)d])/((n/2)[2a+(n−1)d]))=3 4a+(4n−2)d=6a+(3n−3)d d(4n−2−3n+3)=2a a=(((n+1)d)/2) (s_(3n) /s_n )=((((3n)/2)[2a+(3n−1)d])/((n/2)[2a+(n−1)d])) =((3[(n+1)d+(3n−1)d])/([(n+1)d+(n−1)d])) =3×((d(n+1+3n−1))/(d(n+1+n−1))) =3×((4n)/(2n))=6](https://www.tinkutara.com/question/Q46937.png)