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Consider the mathematical statements: 2. $n(n+1)$ is divisible by 2. 2. $3^{2n}-1$ is divisible by 8. 3. $n^2-n+41$ is a prime integer. 4. If a set S contains n distinct objects, then the number of subsets of S is $2^n$. All these statements are concerned with natura..

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Based on the principle involved in mathematical induction, we are going to solve the problems. The solutions for problems are explained with a specific algorith..

In day to day life we use words like a pack of cards, a foot ball team, and herd of sheep to denote collection of objects of a particular kind. In mathematics, we come across words like natural numbers, lines, composite numbers Let us examine some collections: Vowels in Engli..

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">In a solution containing n A moles of solute and n B moles of solvent, the mole fraction of solute, X A , and the moie fraction of the solvent, X . can be expressed as follows: x=n/a/n/a/n/a mass percent = the percent of a solution's total mass that is ..

As we know an equation is a mathematical statement where two expressions are equated. Examples: 2x + 5 = 11 3x - 6 = x + 12 By solution of the above equations we mean finding the values of the variable that satisfies the equation. In this section we will take a look at met..

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As we saw ratios are generally written in the form a : b Its important to write this in the lowest form and also the units have to be same. Example 1 The age of Sam is 10 and that of his mother is 32. What is the ratio between Sam and his mothers age? Solution: Ratio between Sam..