How to Confirm If They are Arithmetic ProgressionItsMyAcademy.com

# How to Confirm If They are Arithmetic Progression

In previous video we learnt a little bit about checking Arithmetic Sequence or Arithmetic Progression. In this video, now we are going to check again whether the Progressions or Sequences is Arithmetic type or not with lots of examples mostly with numbers not in word problem. In previous video we had checked in word problem but now we are checking when we get the first term of Arithmetic sequence (a) , common difference (d) or terms.

I hope you now understand how to check the Arithmetic Progression perfectly.

Arithmetic Sequence Check

If common difference is constant through out the progression then it’s an Arithmetic progression other wise not. i.e.

Difference of 1st and 2nd term = Difference of 2nd and 3rd term = Difference of 3rd &4th term = …so on

Or, A2- A1 = A3 – A2 = A4 – A3 = so on..

Then we can the sequence or progression is Arithmetic Progression.

Try These Checking Arithmetic Sequence (progression) Problems:

1.     3, 6, 12, 24, ……

2.      0,-4,-8,-12 …

3.       ½, 1/4, 1/6, 1/8 …

4.      12, 2,-8,-18,

5.      3, 3, 3, 3, 3, 3, 3,

6.     P,p+90,p+180,p+180,p+270,………………….where P= (999) to the power999

7.     1.0, 1.7, .2.4, 3.1, ……

8.     1square, 2square, 3square, 4square,………..

9.     1square, 5square, 7square, 73, …………..

10.   (a+b), (a+1)+b, (a+1) + (b+1), (a+2) + (b+1), (a+2) + (b+2),………………..

11.   -225, -425, -625, -825,…………..