the number e sum

If f(x) is a polynomial in x and is divided by x-a; the remainder is the value of f(x) at x = a i.e., Remainder = f(a..

They are integers that differ from each other by one, e.g., 8, 9, 10 are consecutive integers, also 180, 179, 178, 177 are consecutive intege..

Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..

Rational and Irrational Numbers..

..

If A and B are 2 matrices of the same order, then A + B is the sum of the 2 matrices where each element is got by adding corresponding elements of A and B. ..

Numbers which are not rational are called irrational numbers. When expressed as decimals, they are non-terminating and non-recurring. i.e., Irrational numbers cannot be put in the form where and are some examples of irrationals. (i) is also irrational. Its ap..

Question: Four numbers are in AP. Sum of the first three is 21 and sum of last three is 30. Find the numbers. Answer: Let the numbers a - 3d, a - d, a + d, a + 3d be in AP. ..

Sigma Notation - The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..

Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...