whole number operations sum

A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subtracting (ii) from (i), we g..

The sum and product of two conjugate numbers is always real. 2a + i(0) 2a ..

2. Find the sum to n terms of the seri..

3. To find the sum to the cubes of first n natural numbers. ..

Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are satisfied by the elements of th..

(i) RHS (ii) From (i) and (ii), LHS = RHS Hence proved. Which number should be added to each of the numbers 7, 22 and 62 so that the sums would be in continued proportion? Let the number added to each of them be 'x..

Summary - A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital letter. Two matrices are said to be comparable..

Whole numbers - read, write, count Place value (whole numbers) Decimals, fractions, percents; compose/decompose numbers Unit and same denominator fractions Equivalent fractions Negative numbers Positive numbers Addition ..

Rational numbers Problems involving markups, commissions, profits Squares and square roots Operations on fractions, decimals, integers Rates and ratios Order of operations, exponents Scientific notation, radicals, absolute value, irrational/real numbersh..

Different forms of numbers; problems involving percents Rational/irrational, real numbers; scientific notation, unit rate Estimation of solutions Number systems Properties of real numbers Primes, factors, multiples, number sequence..