Fibonacci Sequence

The Fibonacci Series is 0,1,1,2,3,5,8,13,21,34,55,...... This Series is generated by adding two number before it : for example : 5 is found by adding two numbers before it that is 2+3. Similarly 8 is found by adding two numbers before it that is 5+3. and so on.. The Fibonacci Sequence can be written as a rule such as  Xn=Xn-1 + Xn-2 For example : Xn-1=21 and Xn-2=13 Therefore Xn becomes 34. When we  make a square as shown below we get a Spiral shape : Golden ratio : If we take two successive number Fibonacci number we get a known as Golden Ration which has the approximate value as  1.61803399.... Bigger the pair of Fibonacci Numbers, the closer the approximation. The symbol for Golden ration is φ...

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(a+b)^2=a^2+2ab+b^2 But why?

So Lets prove it : Consider a line  Take any arbitrary point  So now we can say that length of line is a+b Now we have to square a+b that will be lets add all the squares and rectangles This will be  a2  Now it is a2+b2 Here there are two rectangle in the above diagram As we know that Area of rectangle is Length X Width So it will be a x b Now lets add every square and rectangle a2 + b2 + a x b + a x bi.e., a2 + b2 + 2ab Thus  (a+b)2=a2 + 2ab+b2 ...

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Trick To Convert Fahrenheit and Celsius

Formula :-To Convert Celsius to Fahrenheit  °C  x  9/5 + 32 = °F  OR °F = (1.8 x °C) + 32 To Convert Fahrenheit to Celsius  (°F  -  32)  x  5/9 = °C OR °C = (°F - 32) / 1.8 Trick To Convert Celsius to Fahrenheit : You will not get the accurate value of Fahrenheit using this trick. Step 1 :  Double the celsius Step 2 : Add 30 For example  lets take 15 °C Step 1 :  Double the celsius 15 x 2 = 30 Step 2 : Add 30 so 30 + 30 = 60°F So it is quite near to the actual answer 59°F Now to convert  Fahrenheit to Celsius  Step 1 : Subtract  30 Step 2 : Divide by 2 Program To Convert Celsius to Fahrenheit and Fahrenheit to Celsi...

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