Introduction of Geometric Progression

Let us study about Geometric Progression,

Introduction:

Solving online progression is very interesting since we can find the nth term of the particular sequence in much easier way. In this article we shall learn about steps involved in progressions solving.

Moreover we will see in detail about different types involved in progression. There are three types of Progression in math, * Arithmetic progression *Geometric progression * Harmonic progression Let us see these progression and their properties in the following section.

I hope the above explanation was useful, now let us study height in inches

Introduction to congruent polygon

Let us study about Polygon definition,

In congruent polygon definition,the polygons are congruent when they have the equal number of sides, and all corresponding sides and inside angles are congruent.

The polygon will have the same figure and range, but one may be rotate, or be the mirror picture of the other.The spot anywhere they exist is may be different and turning or flip polygons does not adjust the reality so, that they are congruent.

I hope the above explanation was useful, now let us study equation of ellipse.

What is Mathematical Induction

Let us study what is Mathematical induction,

The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones.

Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof.

Mathematical Induction is a principle by which one can arrive at a conclusion about a statement for all positive integers, after proving certain related proposition.

I hope the above explanation was useful, now let me explain about Mathematical Reasoning

Sine and Cosine Laws

Let us study law of sines and cosines,

In trigonometry, we will learn about sine and cosine law is very useful for solving the triangles. In a triangle, there are three sides, and three angles namely a, b, c are the sides of triangle. Here C is the angle opposite to the side c. B is the angle opposite to the side b. A is the angle opposite to the side a.
Sine and Cosine Laws

Law of Sines or Sine Rule:

The sine law can be expressed as





Law of Cosines or Cosine Rule:

The cosine law can be expressed as


I hope the above explanation was useful.

what are real numbers

Let us study what are real numbers,

Real Numbers are just numbers like:

1

12.38

-0.8625

3/4

√2

1998

In fact:

Nearly any number you can think of is a Real Number

Real Numbers include:

	Whole Numbers (like 1,2,3,4, etc)
	Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )
	Irrational Numbers (like π, √3, etc )

Real Numbers can also be positive, negative or zero.

So ... what is NOT a Real Number?

	√-1 (the square root of minus 1) is not a Real Number, it is an Imaginary Number
	Infinity is not a Real Number
And there are also some special numbers that mathematicians play with that are not Real Numbers I hope the above explanation was useful, now let me explain about Similar polygons.

Introduction of Inverse property

Introduction to Inverse property of multiplication:

The inverse property is used to represent as when we multiply the term with inverse number of the given term the product of the operation will be equal to 1. the inverse property of multiplication is always denoted as like the division format. It has two parts like the numerator denominator. The numerator will always 1 and the denominator will be what the term which we are going to multiply.

For example

Inverse property of 5 is [1/ 5] , if we multiply the both value we get the constant answer that is 1.

= 5 x [1/5]

= 1.

I hope the above explanation was useful.

Introduction to mathematical reasoning

An introduction to mathematical reasoning:

In this article let us study the introduction and process of mathematical reasoning. In mathematical language there are two kinds of reasoning- inductive and deductive.Let us discuss some fundamentals of deductive reasoning. The basic unit involved in mathematical reasoning is a mathematical statement.Consider the two sentences.

An elephant weighs more than a human being.

Reading books is a bad habit.

When we read these sentences, we immediately decide that the first sentence is correct and the second is false. There is no confusion regarding these. In mathematics such sentences are called a statements.

I hope the above explanation was useful, now let me explain about Trigonometric equations & Linear Functions.

Fractions

How to do fractions:In this Blog let us learn how to do Fractions. Add the two factions [350/8] and [300/8]

Solution:

The given two fractions [350/8] and [300/8]

= [350/8] + [300/8]

= [(350+300)/8]

= [650/8]

This can be simplified has

= 81.25
Definition for Equivalent Fraction:
When two or more fractions which represent the same part of a whole, the fractions are called equivalent fractions.An example of a equivalent fraction can be given with the help of a figure.Hope you like the above example of Equivalent Fraction.Please leave your comments, if you have any doubts.

Divide

How to divide:Division is one basic concept that we cannot ignore,let us learn the key steps involved to solve division.The instructions on how to divide with the example 8765 / 12
Step 1:Divide the group of number into pair from right to left.
87 65
Take the first element in the left hand side.
12) 87 65(
Divide the number by the divisor.Write down the answer in right hand side of the dividend.
12) 87 65(7
Step 2:Multiply the quotient and divisor and write down the answer directly under the dividend then subtract it.
12) 87 65(7
84

--------

3
Step 3:Take the next number in the next pair and again do step one and step two.

12) 87 65(73

84

--------

3 6

3 6

----------

0

Step 4:Carry on the step one, step two and step three until get the reminder as zero.

12) 87 65(73

84

--------

3 6

3 6

----------

0 5

Finally we get the quotient and reminder value.

Here the quotient =73

Reminder =05

Hope you like the above example of How to divide.Please leave your comments, if you have any doubts

Explain Polynomials

Afraid of polynomials ??
Here's the easy way to learn it. check it out.
Let us learn about arithmetic sequence and polynomial problems
Polynomial is an equation that is formed by adding or subtracting several variables called monomial. Monomial is a variable that is formed with a number and a letter variable to its powers. The example of monomial is 3X³. You can’t add or subtract monomials if they have different exponents such as 3X³ and 4X⁴. But you can multiply or divide them. To multiply monomials, just add the exponents of the variables and multiply the coefficients. 3X³ x 4X⁴ = 12X⁷.

Here are some additional ways to manipulate the monomials:

* (a^m)ⁿ = a^mn
* (ab)^m= a^mb^m
I hope the above explanation was useful, now let me give you some examples on polynomials.

Adjacent & Vertical angles

Let us study about Adjacent & Vertical angles,

Adjacent angles are any two angles that share a common side separating the two angles and that share a common vertex. In Figure 1 , ∠1 and ∠2 are adjacent angles.

Figure 1

Adjacent angles.

Vertical angles

Vertical angles are formed when two lines intersect and form four angles. Any two of these angles that are not adjacent angles are called vertical angles. In Figure 2 , line l and line m intersect at point Q, forming ∠1, ∠2, ∠3, and ∠4.

Figure 2

Two pairs of vertical angles and four pairs of adjacent angles.

* Vertical angles:
o ∠1 and ∠3
o ∠2 and ∠4
* Adjacent angles:
o ∠1 and ∠2
o ∠2 and ∠3
o ∠3 and ∠4
o ∠4 and ∠1

Theorem 7: Vertical angles are equal in measure.

I hope the above explanation was useful.

Explain Multiples

Let us study about multiples,
Multiples

Multiples of a number are found by multiplying that number by 1, by 2, by 3, by 4, by 5, etc.

Example 1: List the first seven multiples of 9.

9,18,27,36,45,54,63


Common multiples :

Common multiples are multiples that are the same for two or more numbers.

Example 2: What are the common multiples of 2 and 3?
Notice that common multiples may go on indefinitely.
Hope the above explanation helped you.