Arithmetic Progression-FAQs

What is the mean of Arithmetic Progression?

Arithmetic progression or AP in mathematics is defined as a sequence in which the difference between any two consecutive number of the sequence is always constant. Example, 2, 4, 6, 8, … is an AP as the difference between any two consecutive terms in the sequence is always 2.

What is nth term of an AP?

N^th(T_n) term of the AP is calculated using the formula:

T_n = a + (n – 1)d

What is the formula for sum of n term of an AP?

Sum of ‘n’ terms of an AP (S_n) is calculated using the formula:

S_n = n/2{2a + (n – 1)d}

Is a constant sequence always an AP?

Yes, contact sequences such as, 1, 1, 1,…, are always AP as their common difference is always constant(zero).

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 n_th term of the series.

In mathematics, there are 3 types of progressions:

1. Arithmetic Progression (AP)
2. Geometric Progression (GP)
3. Harmonic Progression (HP)

let’s learn about AP in this article.