If you ever observe the everyday things around you, you will see a fascinating pattern or sequence in unexpected places! The petals of a sunflower, the scales of a pineapple, the bouncing pattern of a ball, all of these things follow a progression. So here we will learn a specific type of progression, called Arithmetic Progression.
- Arithmetic Progression (AP)
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FAQ on Arithmetic Progression
Question– What is an arithmetic progression with example?
Answer– An arithmetic progression (AP), is also referred to as an arithmetic sequence. It is a sequence of numbers which differ from each other by a common difference. For instance, the sequence 2, 4, 6, 8… Is an arithmetic sequence with the common difference of 2.
Question– What is the formula for the sum of arithmetic progression?
Answer– The Sum Formula states that the sum of the first n terms of our arithmetic sequence equals to n which divides by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n denotes the number of terms we add together
Question– Why do we use arithmetic progression?
Answer– We use arithmetic progression to easily determine the future amount. You can simply get any far-future amount by calculating the nth term of the AP series. When you calculate the nth term, you can also get how many instalments you should pay in the allocated money amount
Question– Who is the father of arithmetic progression?
Answer– Johann Carl Friedrich Gauss is the father of Arithmetic Progression. He found it when he was in school and his teacher asked to sum the integers from 1 to 100.