If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1: S4 = 1: 10. Then the ratio of first term to third term is _______ ?

Asked by Last Modified  

Follow 0
Answer

Please enter your answer

Maths teacher

It will be 1:7
Comments

Mathematics teacher for the learners

s1:s4=1:10. solving this we get a1 = d. similarly, a3 = 3d. then a1: a3= 1:3.
Comments

1/6
Comments

if the ratio of sum is asked then it will be 1/6 and ratio of terms will be 1/3
Comments

Dedicated Teacher With Lots of Teaching Experience In Maths For All Boards

S1/S4 = 1/10 a/4a+6d = 1/10 10a = 4a + 6d 10a - 4a = 6d 6a = 6d a = d S3 = 3(2a +2d)/2 S3 = 3(a + d) S1/S3 = a/3(a + d) = a/3(a + a) = a/6a = 1/6 S1 : S3 = 1 : 6
Comments

B-TECH

put Sn=n/2 then,S1=a S4=2 divide,equate to ratio crossmultiply and solve
Comments

Mathematics Tutor

Answer:- 1:3 Explanation : As S1=1 which means a=1. So we have the terms of A.P as 1, 1+d ,1+2d, 1+3d...... Now S4=10 which means 1+1+d+1+2d+1+3d =4+6d=10 and we get d=1. And A.P is 1,2,3,4..... Therefore ratio of first and third term is 1:3
Comments

Maths Teacher

1/3
Comments

Mathematics teacher

1:6
Comments

Mathematics teacher

Sn= n/2 S1= a Now, S4=4/2 S4= 4a+6d S1/ s4= 1/10 a/4a+6d= 1/10 a=d S3= 3/2 S3= 3/2, because a=d S3=6a Hence, S1/s3 = a/6a S1/s3 = 1/6
Comments

View 19 more Answers

Related Questions

Is polynomial y4 + 4y2 + 5 have zeroes or not?
The polynomial y4 + 4y2 + 5 has no zero(s) because the roots are not real.
Veerendra
What is indeterminate form? Please explain.
Indeterminate means the number or expression we cant determine. i.e. 0/0 , infinity/infinity. Etc.
Akanksha
How many hours should I study in class 9 and sleep?
According to various sources ( eg- United states of America , CDC ) recommended hours of sleep per day for teenagers (13-18 years ) is 8-10 hours. Coming to the number of hours of study , it depends on...
Divya
Is coaching required for class 10 cbse?
Its fully your choice If you are able to study by your own then no need for coaching Only proper management is required
Neetu
What is the y intercept of the line: -4x + 6y = -12?
Hey,Let's find the y intercept of the line: -4x + 6y = -12? In the equation ax + by = c, the y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we can set x = 0 and solve...
Isha
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Recommended Articles

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you