Month: July 2013

The Mystery of the Four Consecutive Numbers in the Fibonacci Sequence

High School Mathematics, High School Number Theory

The Fibonacci Sequence

The Fibonacci sequence is the sequence of integers 0, 1, 1, 2, 3, 5, 8, 13, 21,…  or 1, 1, 2, 3, 5, 8, 13, 21, …  It is a sequence of numbers that starts with 0 (or 1) and  each number is the sum of the previous two. The sequence first appeared in Liber Abaci, a book written by Leonardo of Pisa, more popularly known as Fibonacci.

fibonacci sequence

The sequence appear in many branches as well as in many form. Take for instance the rectangle above. You can create  a rectangle whose sides are consecutive numbers of the Fibonacci Sequence. The Fibonacci Sequence also appears in the Pascal’s Triangle. » Read more

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Math Trick 3: The Answer is Always 1089

Games and Puzzles, High School Mathematics, Math Lite, Math Palette

This is the third part of the Math and Multimedia Math Trick Series.  The first two tricks are multiplying by 11 and squaring numbers ending in 5.

As I have promised, I will teach you more math tricks that will impress your friends. The most exciting part, however, is not actually the trick but why the trick works. In this post, we are going to learn math trick which we will call magic 1089, a trick I learned at BasicMathematics.com.

The 1089 Math Trick

Step 1: Think of a 3-digit number where its digits are decreasing.

Step 2: Reverse the order of the digits.

Step 3: Subtract the number in step 2 from the number in step 1.

Step 4: Reverse the order of the difference in step 3.

Step 5: Add the numbers in step 3 and step 4.

The result is 1089.  » Read more

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