Question

formulas of arithmetic progression of class 10​

Answer 1

Step-by-step explanation:

Formulas

There are two major formulas we come across when we learn about Arithmetic Progression, which is related to:

The nth term of AP

Sum of the first n terms

Let us learn here both the formulas with examples.

nth Term of an AP

The formula for finding the n-th term of an AP is:

an = a + (n − 1) × d

Answer 2

Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value. For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an AP, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 -1). Even in the case of odd numbers and even numbers, we can see the common difference between two successive terms will be equal to 2.