Notes for Arithmetic Progression

A group of numbers connected by a definite law is known as sequence.

A Sequence in which each term is obtained from the preceeding term by adding a constant quantity to it.

A sequence is called a series if its terms are connected by the sign of addition or subtraction.

where *a* is first term and *d* is common difference *l* is last term.

The condition for three terms to be in an Arithmetic Progression is that common difference between them must be same.

⇒ *t*_{3} ‐ *t*_{2} = *t*_{2} – *t*_{1}

Sum of n terms of an A.P.

where *l* is last term, *d* is common difference.

The Standard form of an Arithmetic Progression is