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Define an Arithmetic Progression. - Mathematics

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Question

Define an arithmetic progression.

 
Short Note

Solution

An arithmetic progression is a sequence of terms such that the difference between any two consecutive terms of the sequence is always same.

Suppose we have a sequence  `a_1,a_2,a_3,a_4,....`

So, if these terms are in A.P., then,

`a_2 - a_1 = d`

`a_1 - a_2 = d`

`a_4 - a_3 = d`

And so on…

Here, d is the common difference of the A.P.

Example: 1, 3, 5, 7, 9 … is an A.P. with common difference (d) as 2.

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Chapter 5: Arithmetic Progression - Exercise 5.7 [Page 56]

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RD Sharma Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
Exercise 5.7 | Q 1 | Page 56
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