What is Arithmetic Progression?
An Arithmetic Progression (AP) is a sequence of numbers where each term increases (or decreases) by a constant difference. For example:
Example: 2, 5, 8, 11, 14...
Here, the first term is 2 and the common difference is 3.
General Formula
The formula for the n-th term is:
an = a + (n-1) * d
Where:
- a: First term
- d: Common difference
- n: Term number
Interactive Example
Enter the first term and common difference to generate an AP sequence:
Applications of Arithmetic Progression
Finance: Regular savings with fixed increments.
Construction: Steps or tiles in geometric patterns.
Physics: Uniformly accelerated motion equations.
Challenge Yourself!
Can you find the sum of the first 20 terms of an AP where the first term is 3 and the common difference is 4?