arithmetic progression

In Our Previous blog we learned about conditional probability & now let us learn about arithmetic progression

An arithmetic progression is a sequence of numbers so that the difference of any 2 successive members of the sequence is a constant.

The best example, the sequence 3, 5, 7, 9, 11,... is an arithmetic progression with common difference 2.

There are 2 types of Progressions. They are arithmetic progression & geometric progression. An Arithmetic progression which includes the sequence of numbers & the terms except the first can be gained by adding 1 number to its preceding number. An Arithmetic progression is also denoted as the arrangement of 2 consecutive numbers, the progression which is constant.

If a, b, c are in A.P then prove that (a–c)² = 4(b² – ac)
Solution:

a, b, c are in A.P

⇒ b – a = c – b = common difference

⇒ 2b = a + c ⇒ 4b² = a² + 2ac + c²

⇒ 4b² – 4ac = a² – 2ac + c² ⇒ 4(b² – ac) = (a – c)²

In our next blog we shall learn about conditional probability I hope the above explanation was useful.Keep reading and leave your comments.