General Form of an AP
By computing the n terms of an AP with the upgiven formula, the general form of the AP is as follows:
Example: Find the 35th term of the series 5,11,17,23…..
Solution:
In the given series,
a = 5, d = a2 – a1 = 11 – 5 = 6, n = 35
We have to find out the 35th term, hence, apply the formulae,
an = a + (n – 1)d
an = 5 + (35 – 1) x 6
an = 5 + 34 x 6
an = 209
Hence 209 is the 35th term.
Arithmetic Progressions Class 10: NCERT Notes
Arithmetic progression(AP) also called an arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence
A progression is a sequence or series of numbers in which they are arranged in a particular order such that the relation between the consecutive terms of a series or sequence is always constant. In a progression, it is possible to obtain the nth term of the series.
In mathematics, there are 3 types of progressions:
- Arithmetic Progression (AP)
- Geometric Progression (GP)
- Harmonic Progression (HP)
let’s learn about AP in this article.
Table of Content
- Arithmetic Progressions
- Nth Term of an AP
- General Form of an AP
- Sum of n Terms of Arithmetic Progression
- Sample Problems on Arithmetic Progressions
- Practice Questions on Arithmetic Progression
- Arithmetic Progression-FAQs