Help on Arithmetic Progression.

Introduction for Arithmetic progression:

There are two types of progressions .They are arithmetic and geometric progression. An Arithmetic progression which consists of the sequence of numbers and the terms except the first can be obtained by adding one number to its preceding number. Arithmetic progression is denoted as two consecutive numbers arrangement of progression which is constant.
Examples for Arithmetic Progression

Example 1:

The sequence terms of an A.P. 6, 1, –4...Find the 10 th term.

Solution:

Consider the A.P in the form a, a + d, a + 2d, ...

Here, a = 6, d = 1 – 6 = –5, n = 12

t_n = a + (n–1) d

t₁₀ = 6 + (10 – 1) (–5) = 6 + 9 x (–5) = 6 – 45 = – 39

:. The 12th term is –39. This could also help us on elements and compounds

There are three types of Progression in math,

• Arithmetic progression
• Geometric progression
• Harmonic progression

Introduction of coordinate plane graph paper

Introduction of coordinate plane graph paper:

In this section let me help you on coordinate plane graph paper. In mathematics, a graph is an abstract representation of a set of objects where some pairs of the objects are connected by links.

A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. This could also help us on touch math worksheets

The mathematical images like square, pentagon, hexagon, and rectangle can be easily plotted in the coordinate planes.

Help on Conditional Probability

Conditional Probability

The conditional probability of an event B will be the probability that the event will occur given the knowledge that an event A has already occurred. This probability is written P(B|A), notation for the probability of B given A. In the case where events A and B are independent to the conditional probability of event B given event A is simply the probability of event B, that is P(B)..

Let us consider the events A and B are not independent, then the probability of the intersection of A and B (the probability that both events occur) is defined by

P(A and B) = P(A)P(B|A). This will also help us on how to calculate pi

From this definition, the conditional probability P(B|A) is easily obtained by dividing by P(A):

P(B|A)= P(A and B)/ P(A)

This expression is only valid when P(A) is greater than 0.

calculating probability

Calculating Probability concepts and probability theorems is an interesting topic to debate with. The word Probability is something which we use on day today conversation.

In everyday life, we come across statements such as
(1) It will probably rain today.
(2) I doubt that he will pass the test.
(3) Most probably, Kavita will stand first in the annual examination.
(4) Chances are high that the prices of diesel will go up.
(5) There is a 50-50 chance of India winning a toss in today’s match. This will also help us on how to calculate probability

The words ‘probably’, ‘doubt’, ‘most probably’, ‘chances’, etc., used in the statements above involve an element of uncertainty. For example, in (1), ‘probably rain’ will mean it may rain or may not rain today. We are predicting rain today based on our past experience when it rained under similar conditions.

What is Algebra?

What is Algebra?

Alg

ebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

We Use Algebra Everyday?

Algebra is used everyday, all the time. It is used in problem solving situations

when you are trying to determine how long it will take you to get from your home to your friends house.

Algebra is much broader than elementary algebra and studies what happens when different rules of operations are used and when operations are devised for things other than numbers. Addition and multiplication can be generalized and their precise definitions lead to structures such as groups, rings and fields, studied in the area of mathematics called abstract algebra. sample algebra problem

Keep reading may be in the next session let me help you on algebra calculator online.

Problems on Circumference

Introduction on Circumference:

Circles are simple closed curves which divide the plane into two regions, an interior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to either the boundary of the figure (also known as the perimeter) or to the whole figure including its interior.

Circumference of a Circle:

The diagrammatic representation showing circumference of circle is shown:

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The Circumference of a circle can be calculated using the following formula:

Circumference = 2 ╥ r or ╥ d

where r ----> radius of circle

d ----> diameter of circle , r = d/2

Example Problems for Finding Circumference of Circle:

Following is the sample Problem on Circumference

1) Find the Circumference of a circle with radius 20 cm. Use 22/7 as pi value.

Solution:

Circumference of a circle = 2 ╥r

= 2 (22/7) 20

= 2 (3.14) 20

= 125.6 cm

Introduction for free 3rd grade math:

When we study about 3^rd grade math help we find may interesting topics to look in. In algebra basic arithmetic operation (addition, subtraction, multiplication, and division) generally used in day to day life. In these articles we are going to discuss about free 3rd grade math. Addition (+) defined as adding the two numbers. Subtraction (-) defined as the inverse of addition. Also helps in simplifying algebraic expressions.

3rd grade math – Addition example problems:

Following are the few examples on 3^rd grade math

Example 1:

Adding the given values

89775 – 16654

Solution:

89775

16654 (+)

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106429

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So, the final answer is 106429

Example 2:

If there are 192 tickets in a box and Joshua puts 49 more tickets inside, how many tickets are in the box?

Solution:

If there are 192 tickets in a box and Joshua puts 49 more tickets inside,

= 192 + 49

= 241 tickets

241 tickets are in the box.

Note on Regular and Irregular Polygons

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Polygons:

In this lesson let me help you go through on regular and irregular polygon.

A simple closed figure bounded by three or more lines segments is called a polygon.

The line segments forming a polygon are called its sides. Polygons are named according to number of sides they possess.

Regular Polygon:

A polygon having all sides equal and all angles equal is called a Regular Polygon.

Examples: (i) An equilateral triangle is a regular polygon of 3 sides.

(ii) A square is a regular polygon of 4 sides.

Properties of a Regular Polygon:

1. In a regular polygon all interior angles are equal

2. In a regular polygon all exterior angles are equal.

3. A circle can be circumscribed about every regular polygon.

A circle can be inscribed in every regular polygon.

Irregular Polygon:

A polygon that is not a regular polygon , that is a polygon whose sides are not all the same length or whose angles are not of the same measure is called an Irregular Polygon

Perimeter of an Irregular Polygon:

The sum of all the sides’ lengths is called its perimeter.

Area:

There is no easy formula for the area of an irregular figure, we convert an irregular polygon to simple polygons and find the individual areas and the sum of the individual areas gives the area of the irregular polygon.