Q1
What is the general form of Arithmetic Progression?
The general form of arithmetic progression is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:
an = a + (n – 1) × d
Q2
What is arithmetic progression? Give an example.
A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.). The example of A.P. is 3,6,9,12,15,18,21, …
Q3
How to find the sum of arithmetic progression?
To find the sum of arithmetic progression, we have to know the first term, the number of terms and the common difference. Then use the formula given below:
Sn = n/2[2a + (n − 1) × d]
Q4
What are the types of progressions in Maths?
There are three types of progressions in Maths. They are:
Arithmetic Progression (AP)
Geometric Progression (GP)
Harmonic Progression (HP)
Q5
What is the use of Arithmetic Progression?
An arithmetic progression is a series which has consecutive terms having a common difference between the terms as a constant value. It is used to generalise a set of patterns, that we observe in our day to day life. For example, AP used in prediction of any sequence like when someone is waiting for a cab. Assuming that the traffic is moving at a constant speed he/she can predict when the next cab will come.
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