Saturday, April 28, 2012

Amusing Property Of Three Consecutive Numbers.


For any three consecutive numbers product of the first and the last number plus one is equal to the square of the middle number.

Step 1:- Take any three consecutive three numbers.
For example—2, 3, 4

Step 2:- Product of the first and the last number.
Here, 2*4=8

Step 3:- Add one to the product of step 2
8+1=9

Step 4:- Result of Step #3 is the square of the middle number.
that is , Square of three is equal to nine.

Another example,
Suppose three consecutive numbers are 8,9,10.
As  above mentioned,
8*10+1=81.
81 is equal to the square of 9.


Take more examples and think how it works. Enjoy it!

Note for Parents /Teachers:
This way you are introducing your child to formula (a+1)2=a(a+2)+1

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