Further with Numbers
Fibonacci Sequence - each missing number in the pattern can be found by finding the sum of the two numbers before it.
Examining the Fibonacci Sequence Video
Fibonacci Sequence in Nature Video
Doodling in Math: Spirals, Fibonacci, and being a Plant
1, 1, 2, 3, 5, 8, ...
Perfect Number - equal to the sum of all its factors except itself.
6 (1, 2, 3)
28 (1, 2, 4, 7, 14)
The sum of all the factors of an Abundant Number, except the number itself, is greater than the number.
The sum of all the factors of a Deficient Number, except the number itself, is less than the number.
Goldbach's Conjecture (video) - Christian Goldbach, an 18th century Russian mathematician, believed that every even number greater than 4 could be written as the sum of two odd primes. 16 = 5 + 11 He also believed that every even number greater than 4 could be written as the sum of three primes. 18 = 2 + 5 + 11 or 32 = 23 + 7 + 2.
Pascal's Triangle - is also called the probably triangle. This is an array in triangle form.. The "peak" of the triangle is made up of three ones and the sides of triangle are made of ones. Numbers inside the triangle are the sum of the two numbers diagonally above them.
Palindromic Numbers - a palindromic word, sentence, or number is one that is symmetric. This comes from the Greek "palin" (again) and "dromes" (running). Literally, we have "running back again." A palindrome reads the same from either end.
dad, deed, radar, "Madam, I'm Adam," and "Was it a cat I saw?" are palindromes. 7328237 and 654272456 are palindromic numbers. A number that is not palindromic may be made palindronic in the following way. Reverse a number's number's digits, and add the original number and the reverse number together. Continue this process (reverse and add) until the sum is a palindromic number.
5827
+7285
13112
+21131
34243