An A.P. is a sequence of numbers such that the difference between any two consecutive numbers is constant. This constant difference is known as the common...
An A.P. is a sequence of numbers such that the difference between any two consecutive numbers is constant. This constant difference is known as the common difference.
Let's denote the first term of the A.P. as a and the common difference as d.
The general term of an A.P. is then given by the formula:
where:
a is the first term of the sequence
n is the position of the term in the sequence
d is the common difference between consecutive terms
For example, if the sequence is 5, 8, 11, 14, 17, the common difference is 3. Therefore, the general term of the sequence would be:
This formula tells us that the general term of an A.P. is the sum of the first term, the position of the term in the sequence, and the common difference