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## Class 10

### Course: Class 10>Unit 3

Lesson 1: Intro to arithmetic progressions

# Intro to arithmetic progressions

Let's get introduced to arithmetic progressions. Let's also look at a few examples of arithmetic progressions. Created by Aanand Srinivas.

## Want to join the conversation?

• I want to ask a question

Since he said an ap must be a constant jump size so it made me thinking.

Infinity never ends which makes it inconstant because the numbers keep on going but since adding infinity with infinity, the jump size is the same thing but infinity is inconsistent so I want to know if a sequence that adds infinity counts as an ap?

n , (1∞+n) , (2∞+n) , (3∞+n), .....

Thanks. :)
• Good question! Actually infinity is never counted as a number in mathematical terms and cannot be performed operations on. So no, it isn't
• At this video Aanand u just told about the numbers like positive integer, negative integer, and zero. But what if there is a difference of a fraction?
• Even though the difference is a fraction, it can still be an AP. For example, in the following AP:
0, 3/2, 3, 9/2, 6, the common difference is 3/2.
Hope I helped!
• How can +0 be an part of an arithmetic sequence when there is no progression?
• You should only care about the common difference, the common difference is the same so it is in Ap.
• Sir , I have an question for you
What if we took the jump sizes as +0 ,-0 ,+0 ,-0 and so-on , in 7 7 7 7 7 ..... sequence.
Sir , will it remain an AP in that case or will it not .
(1 vote)
• Yes, +0 and -0 is the same, so the difference between the terms is constant.
• In the 4th example,i.e. 1 4 9 16
The Jump size is as follows, +3, +5, +7
So the Jump Size is constantly increasing by 2.
So won't it be in Arithmetic Progression??
(1 vote)
• No. This is not an Arithmetic Progression because the Jump size is not a constant. In an A.P., the Jump size remains the same for every new term.