Signup as a Tutor

As a tutor you can connect with more than a million students and grow your network.

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

How to find whether a sequence of numbers are in Arithmetic Progression or not?

Asked by Last Modified  

Answer
Follow 1

Please enter your answer

58 Answers   16 Likes | 5 DisLikes

Math Magician, Computer Wizard

Take any three consecutive terms, if the twice of middle term is equal to the sum of remaining two then series is in A.P.

Comments
Dislike Bookmark

Experienced mathematics faculty

If the difference between all the consecutive terms is same then they are in AP. For ex 3,7,11,15,19..... Here difference (7-3) =(11-7) =(15-11) and so on.. between all the consecutive terms is 4. So they are in AP.

Comments
Dislike Bookmark

To check whether the numbers are in AP or not, first calculate the difference between every two consecutive term i.e. 2nd term - 1st term, 3rd term - 2nd term, 4th term - 3rd term and so on. If the difference is same in every case then the numbers are in AP and the same difference obtained in every case is common difference.

Comments
Dislike Bookmark

Join Urbanpro.com, India’s most trusted education portal for your learning requirements

POST YOUR REQUIREMENT NOW

A series in which the difference is common everywhere in known as A. P. So u just have to check whether the difference is common or not. The difference should be seen between every term nd the one preceeding it.

Comments
Dislike Bookmark

I am a graduate(B.Tech) from National Institute of Technology Karnataka with a degree in Information Technology and am also able to teach Maths and Computer to 'A' level.

A sequence of numbers are in A.P. if this sequence has the property that the difference between successive terms is constant. for ex- a,b,c is a sequence of number then deference d1=b-a, d2=c-b now a,b,c will be in A.P. if and only if d1=d2

Comments
Dislike Bookmark

ELECTRICAL ENGINEER

second term-first term=third - second term then the sequence is said to be in arithmetic progression.

Comments
Dislike Bookmark

Go hard or Go home

A.p can be written as a,a+d,a+2d,.. a+(n-1)d Here a is ur 1st term and d is common difference =2nd term-1st term or 3rd term - 2nd term and so on.... let u explain by example.let the sequence is 1,3,5,7,9,.... Ans since 2nd term -1st term=3rd term - 2nd term=4th term - 3rd term = 2 (common diff (d)),so the sequence1,3,5,7,..are in a.p..and if the common difference is not same then the sequence is not an a.p...

Comments
Dislike Bookmark

Cat 97 percentiler with 96 marks in class 12 cbse board exam

To find wether a no is an AP or not u have to look for the common diffrence . Let there be three terma a1,a2,a3 then if a3-a2 =a2-a1 and so on for all the terms then sequence is an AP . For eg 2,4,6,8,10 in this we have a common difernce i.e 2 so its an ap 2,4,8,16 Here the diference between adjacent term is not same and hence its not an AP 10,8,6,4,2 it has same difence of -2 and hence this is also an AP Tip: try subtracting any adjacent terms and check weather they have same differmce bw them

Comments
Dislike Bookmark

Private tuition for science and maths

subtract 1st term from the 2nd term of the sequence, and obtain the common difference,similarly find C.D for the other twrms, if they are equal then it is in A.P

Comments
Dislike Bookmark

AM X HM = GM2

Comments
Dislike Bookmark
Related Questions

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

Find the number of terms of the A.P: 7, 13, 19, ...., 205?

Asked by Swati Bulkquestions 03/11/2016

Answer 6
Follow 0
Answer submitted successfully. ×

Please enter your answer

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

What is sum of an infinite geometric progression(GP)

Asked by Avinash Bikumalla 19/04/2016

Answer 29
Follow 0
Answer submitted successfully. ×

Please enter your answer

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

Is there any relation between AM, GM, HM in Progressions?

Asked by Avinash Bikumalla 19/04/2016

Answer 25
Follow 0
Answer submitted successfully. ×

Please enter your answer

Looking for a Tutor?

Find best Tutors in your locality on UrbanPro.

FIND NOW

Now ask questions in any of the 1500+ Categories, and Get Answers from Tutors on UrbanPro.com

ASK A QUESTION

Related Lessons

copycat syndrome

To be good at something, it is better to copy. Most projects are now on google and reports are just copy pasted into a book. Duplication is a mantra in most marketing firms and some copy to the T. Effective progress in any field is to tag along with the...

Sponsored

Best Tutors and Trainers in your Locality Find Now »