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An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same. Generally, the arithmetic sequence is written as a, a+d, a+2d, a+3d, ..., where a is the first term and d is the common difference.
The surface area of a cube can be calculated given the edge length (a). Here are the surface area of cube formulas: The TSA of cube formula = 6a 2. The CSA (or) LSA of cube formula = 4a 2. Let us understand the formula for the lateral and total surface area of a cube.
Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Explore and learn more about the long division method along with examples and solutions.
Isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are also congruent. To understand the isosceles triangle theorem, we will be using the properties of an isosceles triangle for the proof as discussed below.
The remainder theorem states that when a polynomial p (x) is divided by a linear polynomial (x - a), then the remainder is equal to p (a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.
Substitute the values of a and b in the (a + b) 3 formula and simplify. The (a + b)^3 formula is used to find the cube of a binomial. It is used to find the cube of the sum of two terms. Understand the a plus b whole cube formula with derivation, examples, and FAQs.
The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane. For example, if 20 unit squares each of length 1 in can be fit inside a trapezium, then its area is 20 in 2. It is not always possible to calculate the area of a trapezium by drawing unit squares.
The area of a regular pentagon can be calculated if only the side length 's' is known. The formula used to find the area of a regular pentagon, A = 1 4√5(5+2√5)s2 A = 1 4 5 (5 + 2 5) s 2 where 's' is the length of one side of the regular pentagon. Example: Find the area of a pentagon whose side is 7 units.
The standard form of polynomial is given by, f (x) = a n x n + a n-1 x n-1 + a n-2 x n-2 + ... + a 1 x + a 0, where x is the variable and a i are coefficients. In this article, we will learn how to write the standard form of a polynomial with steps and various forms of polynomials.
A relation in math is a set of ordered pairs defining the relation between two sets. A function is a relation in math such that each element of the domain is related to a single element in the codomain. A relation may or may not be a function. All functions are relations. Example: { (1, x), (1, y), (4, z)}