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Mathematical expressions are the combination of mathematical symbols or numbers or both. Every expression contains important elements called variables. Expression generally does not contain equality sign, if it has an equality sign then it represented as an equation. So, In th..

Mathematical induction is a method of mathematical proof typically used to establish a given statement is true of all natural numbers. It is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in th..

Mathematical expressions are the combination of mathematical symbols or numbers or both. Every expression contains important elements called variables. Expression generally does not contain equality sign, if it has an equality sign then it represented as an equation. Exa..

Mathematical reasoninghelps in solving many mathematical puzzle,this can increase our capicity of solving.The operations involved are addition,subtraction,multiplication and division.The puzzles can be solved easily and reasoning can be given based on the type of problem.The fu..

Compound Interest When interest is Compounded Annually but Rates being Different for Different years. Supposed Principal = Rs P, Time = 2 Years and rates of interest be a % and b % for year and second year respectively. Then, amount after 2 years = Rs [P(1+ a /100) (1 + b /100..

The Problems on Mathematical Reasoning involves application of laws and logic . Some problems involves finding truth values for compound propositions. The problems are explained below.Which will help us to improve the scores in mathematical reasoning tes..

The word 'Induction' means the method of reasoning which proceeds from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are first formed as hypothesis and then proved by logical reasoning. Mathematical Induct..

Equations The equation is a statement which is used to make two values or expressions equal. These are used to find out the relation between two variables or values. This is used to translate a word problem into mathematical problem. Properties:..

Let P(n) be a statement involving the natural number n, then P(n) is true for all natural numbers n if (i) P(1) is true (ii) P(m+1) si true whenever P(m) is true. In other words, to prove that a statement P(n) is true for all natural numbers n, we have to go through two steps: (i)..

When the symbolic form equation of first law of thermodynamics is used in calculations, generally q and w are associated with mathematical signs ( + ) and (-). (i) If the heat is added to the system during process, the value of q is ( + ). OR For endothermic reaction the value of ..