Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Outside India?
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  

CBSE/Class 10/Mathematics Progressions Tuition/Class IX-X Tuition

Follow 0

21 Answers

Please enter your answer


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


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


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

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

Maths teacher

It will be 1:7

Mathematics teacher


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

Maths Teacher


Mathematics Teacher

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

View 19 more Answers

Related Lessons

Permutations and Combinations
Suppose there are 'n' number of different things. You would like to 'select' or 'arrange' all or some of those things in an order. In how many unique ways can you do so? Permutations and combinations is...

Prithvi Krishna | 2 days ago

0 0

Irrational numbers
When we divide a number by another number, there is a possibility of getting three types of decimals. 1) Terminating decimal 2) Recurring, non terminating decimal 3) Non recurring, non terminating...

Kaivalya P. | 6 days ago

0 0

Trigonometric ratios for complementary angles
When the sum of two angles=90 degrees, they are called complementary angles. We can use following formula →sin(90-θ)=cosθ,cos(90-θ)=sinθ,tan(90-θ)=cotθ,cosec(90-θ)=secθ,sec(90-θ)=cosecθ We...

Recommended Articles

With the mushrooming of international and private schools, it may seem that the education system of India is healthy. In reality, only 29% of children are sent to the private schools, while the remaining head for government or state funded education. So, to check the reality of Indian education system it is better to look...

Read full article >

It is very common for a child to complain that they are bored. Elders remain engrossed in their hectic schedule and children are the most affected ones. When in school, though they keep a busy schedule, but what next? After coming home, today s generation spends maximum time with nannies or caretakers. While the latter...

Read full article >

When it comes deciding the right school for children, parents definitely try to be accurate. Yet the competitive academic industry offers too many options when it comes to school for children and there begins the confusion. With new schools coming up, parents get utterly confused which school will be the best for their...

Read full article >

Before sending children to school, parents hardly take the effort to well educate their children. Parents expect school to do everything and make the children become scholar. Though schools have significant roles to play in a child s life but certain developments and habits grow in a child, from parents end only. These...

Read full article >

Looking for Class 10 Tuition ?

Find best Class 10 Tuition in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

Find Best Class 10 Tuition ?

Find Now » is India's largest network of most trusted tutors and institutes. Over 25 lakh students rely on, to fulfill their learning requirements across 1,000+ categories. Using, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 6.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more