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The series associated with a geometric sequence is known as a geometric series. For example, 2 + 4 + 8 + 16 + 32 is the geometric series associated with the geometric sequence 2, 4, 8, 16, 32.
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Math 153 is an introductory course in calculus offered at Purdue University, designed for students in engineering, physical sciences, and mathematics. The course introduces students to the...

Aftermaths are the consequences or effects that follow a significant event, such as a natural disaster, a war, or a political upheaval. The term is often used to describe the aftermath of a negative...

If three numbers a, b and c are in geometric progression GP, then the middle term b is known as the geometric mean (GM) between the other two. For example, 24, 12 and 6 are in GP, so 12 is the...

A sequence is said to be a geometric sequence or geometric progression if the ratio between any term and its previous term is equal or constant throughout the whole sequence. It is denoted by GP.
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To derive the formula for the sum of arithmetic series, let us suppose an arithmetic series where a be the first term, d be the common difference, n be the number of terms, l be the last term and Sn...

If three numbers a, b and c are in Arithmetic Sequence (AS) then the middle term b is said to be the arithmetic mean (AM) between the other two. For example, 10, 14 and 18 are in AS, so 14 is the...

A sequence is said to be an arithmetic sequence or arithmetic progression if the difference between a term and its preceding term is equal or constant throughout the whole sequence. It is denoted by...

Let f : A → B and g : B → C be two functions. Then a new function defined from A to C such that every element of A corresponds with a unique element of C is known as the composite function of f and...

Let f : A → B be a one-to-one onto function. Then a function from B to A which associates each element of B with a unique element of A is called the inverse function of f. The inverse function from B...

Algebraic Functions are those functions which involve the sum or difference of algebraic terms. The following are some different types of algebraic functions.

a. Constant funciton
b. Identity...

Consider two sets A and B. Any non-empty subset R of the cartesian product A × B is called a relation from A to B. A special type of relation associates each element of set A with the one and only...

If A and B are two non-empty sets then any subset of ordered pairs of a cartesian product A × B is called a relation from set A to set B. A relation is denoted by xRy or simply R, if (x, y) ∈ R. A...

If A and B are two non-empty sets then the set of all possible ordered pairs (x, y) such that the first component x is an element of A and the second component y is an element of B is called the...

An ordered pair is a pair of objects whose components occur in a special (fixed) order. It is written by listing the two components in a specific order, separating them by a comma, and enclosing the...

Pythagorean Theorem probably is the best-known theorem in geometry, which gives the relationship between the lengths of sides of a right-angled triangle.

Pythagorean Theorem states that: “In a...

Theorem is a geometrical statement which is true and can be proved by using known facts and axioms. Generally, we prove geometrical theorems by two methods, one method is experimental verification...

A closed bounded geometrical figure with three or more sides is called a polygon. There are specific names of the polygon according to the number of sides in the polygon. They are as follows:
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The method of using determinants to solve the linear system is called Cramer’s Rule.

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The most common unit of measurement of an angle is the degree. The system of measuring angles in degrees, minutes, and seconds is called Degree Measure or Sexagesimal System.

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In the circular system of measurement of angles, the unit of angle is radian (c). A radian, written as 1c is the measure of an angle subtended at the centre of a circle by an arc equal to the length...

To check whether a number is exactly divisible by 2, or 3, or 5, or 7, etc. we have to go through the actual division. But, it is time-consuming and tedious performing actual division all the time....

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Quick Math Solver: An android app to solve math problems step-by-step.

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Quick Math Solver: An android app to solve math problems step-by-step.

DOWNLOAD