Arithmetic Progression Class 10 (AP) Maths

Arithmetic Progression Class 10 Maths, deals with various concepts which are as under:-

  • Arithmetic Progressions
  • nth Term of an AP
  • Sum of First n Terms of an AP

1. Arithmetic Progression

Introduction of Arithmetic Progression, First term and Common Difference

Arithmetic Progression is a series of numbers, in which each successive termis obtained by adding a fixed number to the preceding term except the first term. that fixed term is known as common difference, which can be positive or negative.




2. nth term of an AP – Arithmetic Progression Class 10

If 1st term = a
Common difference = d
we know that for an AP

Finding first 5 terms of an Arithmetic Progression when first term and common difference are given?

Determining whether given data forms an AP?

Find Common Difference – 1st and 6th term of Arithmetic Progression given




Finding the missing terms of an Arithmetic Progression

Find ranking of a term in an Arithmetic Progression

First negative term in an Arithmetic Progression

Number of multiples of given number in Arithmetic Progression

Finding the salary in Year 10 Arithmetic Progression




Correlation between terms of an Arithmetic Progression given – Finding AP

3. Sum of n terms of an AP – Arithmetic Progression Class 10

a + (a + d) + (a + 2d) + (a + 3d)…………. + (a + (n – 1)d) = S ……………………. (1)
(a + (n – 1)d) + ……………………………+ (a + d) + a = S ……………………………….(2)
Add equation 1 and 2. We will get
2S = n{2a + (n – 1)d}
S = Sum of n terms of an AP = n/2{2a+(n-1)d}

Sum of an Arithmetic Progression

Finding Sum of Arithmetic Progression upto given number of terms

1st and last term of Arithmetic Progression and Sum thereof

Sum of n terms of an AP = n/2 {2a+(n-1)d}=n/2 {a+a+(n-1)d}=n/2{a+an}
Because we know that nth term of AP = a + (n – 1)d

nth term of an AP = Difference between the sum of n terms and sum of (n – 1)terms

Total Cost of tractor including interest – Arithmetic Progression problem 1




Total Cost of tractor including interest – Arithmetic Progression practical problem 1

Using Arithmetic Progression to find total number of pipes

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