Sunday, March 31, 2013

Math Pattern Solutions

Introduction of math pattern solutions:

A pattern, from the French patron, is a type of theme of recurring events or objects, sometimes referred to as elements of a set. These elements repeat in a predictable manner. It can be a template or model which can be used to generate things or parts of a thing, especially if the things that are created have enough in common for the underlying pattern to be inferred, in which case the things are said to exhibit the unique pattern.

(Source:Wikipedia)


Concept of math pattern solutions:


In math, numeric patterns in algebra are patterning prepared from numbers.

The numbers can be in a listing. Any math operation likes addition, subtraction, multiplication, or division, you makes the pattern.

Many of the patterns in math you watch will use addition. The same number will be additional to each number in the list to make the next number in the math list.

Example

2, 4, 6, 8, 10, 12, 14…

The pattern in math is to add 2 every time. The subsequently number is 16, then 18.

I have recently faced lot of problem while learning Substitution Method Calculator, But thank to online resources of math which helped me to learn myself easily on net.

Example for math pattern solutions:


6, 14, 30, 62, …

In the math series on top of, each term after the primary is determined by multiplying the previous term by m and then adding n. What is the value of n?

Solution:

Method 1:

The best way to solve this would be if you see that the pattern:

6 × 2 + 2 = 14
14 × 2 + 2 =28

The value of n is 2.

Method 2:

If you were not able to see the pattern then you can get nearer with two equations and then resolve for n.

6m + n =14             (equation 1)
14m + n = 30          (equation 2)

Use substitution method

n in equation 1

n = 14 – 6m

Substitute into equation 2

14m + 14 – 6m = 30
8m = 16
m = 2

Substitute m = 2 into equation 1

6(2) + n = 14
n = 2

Final solution is n = 2

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