Showing posts with label conditional probability. Show all posts
Showing posts with label conditional probability. Show all posts

Wednesday, August 25

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.