2220 Views

The ratio of sum of first three terms is to that of first six term of a G.P is 125:152.find common ratio


Anurag kumar 5th Apr, 2018
Answer (1)


Hello dear,

i have listed below all the calculation check it.

formula for sum of nth term in GP (Sn)= a(rⁿ -1)/(r -1)
according to the question,
S3/S6 = 125/152
{a(r³ - 1)/(r -1)}/{a(r^6 -1)/(r -1)} = 125/152
(r³ -1)/(r³ -1)(r³+1) = 125/152
1/(r³ + 1) = 125/152
152 = 125r³ + 125
27 =125r³
27/125 = r³
(3/5)³ = r³
ratio = 3/5

Hope This Helps.

Related Questions

UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships | Application Deadline: 30th Nov'24
Chandigarh University Admissi...
Apply
Ranked #1 Among all Private Indian Universities In QS Asia Rankings 2025 | Scholarships worth 210 CR
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
ICFAI Business School-IBSAT 2024
Apply
9 IBS Campuses | Scholarships Worth Rs 10 CR
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books