# Arithmetic Progression

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(click to play)

1,3,5,7...is an example of arithmetic progression, where common difference between any two successive terms is 2.
## Arithmetic Progression

### Things to know 💡 :-

#### n^{th} term

n^{th} term = first term + (n -1) x common difference

t_{n} = a + (n-1)d

#### Sum of first n term

S_{n} = (n/2)[2a + (n-1)d]

a :- first term

d :- common difference

### Playground 🎉

See solved examples and practice as much as you want.

First term of an A.P. is

It's common difference is

And value of n is

n^{th} term is

Sum of first n^{th} term is

Relationship between n and Tn can also be visualized as shown below :-

(click on the box to see the graph)
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