the number e sum

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

The compounded ratio of 2:3 and 4:5 is 2 x 4:3 x 5 i.e. 8:..

Two finite sets A and B are said to be equivalent sets if cardinality of both sets are equal i.e. n (A) = n (B..

Rational and Irrational Numbers..

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Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 ..

Irrational Numbers - 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...

Question: Find four numbers in AP whose sum is 26. Sum of the products of the extremes and the middle terms is 62. Answer: Let (a - 3d), (a - d), (a + d), (a + 3d) be the four numbers in AP The numbers are ..

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..

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..