MATHEMATICS IN THE MODERN WORLD 2023 with verified questions and answers

Patterns regular, reccuring, and repeating forms or designs that are commonly observed in natural objects Sequence Ordered list of numbers called terms; it may have repeated values; the arrangement of these terms is set by a definite rule Fibonacci Sequence performed by adding the two preceeding numbers starting from 0 and 1 Variables placeholder; quantity that may change within the context mathematically or in experiments Universal Statement All things of the given property is true Conditional Statement If one thing is true, then the other also has to be true Existential Statement There is at least one thing which the property is true Universal Conditional Statements "For all" and "If-Then" Existential Universal Statement First part asserts that a certain object exist and is universal, because the second part says that the first part satisfies a property Universal Existential Statement the first part tells that a certain property is true for all objects Set Roster Notation writing allof its element between braces Relations All relations are functuon but not all functions are relation Set Well defined collection of distinct objects Subset basic relation of the set is by of subset Proper Subset Atleast one is a subset Function expression, rule or law that defines relationship between one variable and another variable Inductive Reasoning From specific to general; process of reaching a general conclusion by examining specific examples. Deductive reasoning from general to sepecific; general assumptions, procedure and principles counter-exmaples if you find one case in which the statement is not true, you create a counter-example Sequence ordered list of numbers Terms Each members of the sequence difference table shows differemces between successive terms of sequence Polya's 4 step analyzing 1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Review the solution