Mathematics in the Modern World

• This is the set of the elements found in the universal set that has not found in any of this subset


  Union
• What is seven more than total of the number and 5, translate into mathematical expression

  7 + 5n
• What is the sum of the first seventh terms of geometric sequence. thye first term is 3, the ratio = 4.

  16,383
• Determin the 8th terms of geometric sequence. 5, 15, 45

  26,240
• What is type of sequence, in a given series 1/2, 1/8, 1/11.

  Harmonic Sequence
• Complement

  
• Unity set


  A={1}
• {}/null set

  Empty set
• Disjoint Set

  A and B is a disjoint

  
• Reciprocal of arithmetic

  Harmonic sequence
• difference of k and 10divided by 8


  (10 - k)/8
• Fibonacci sequence. The series of sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... what is the next term?

  55
• What is the missing value, this is the missing value 3, 6, 12,... what is the next value


  24
• Defined the collection of elements.

  Sets
• This is the type of sequence which reciprocal of every term in arithmetic progression.

  Harmonic Sequence
• Expression of mathematical decrease, the difference of ten and k divided by 8.

  (10-k)/8
• Regular repeated terms

  Patterns
• Involve the active method of finding up and filling up of given space such as cubic or esterical container.

  Packing
• Mathematical imaginary lines across the object almost the mirror

  Symmetry
• TYPE OF SEQUENCE

  1. Arithmetic
  2. Geometric
  3. Harmonic
  4. Fibonacci
• An orderd pattern where each subsequent value increases or decreases by a specific constant

  Arithmetic sequence
• Indicates that you can draw an imaginary line across the object or object almost the mirror

  Symmetry
• Mathematical phrase. the difference of 10 and k divide by 8 added to the product of 9 and n.

  (10-k)/8 x 9n
• The number increased by 7 is equal to 35. Find the number.

  28+7 =35
• whisch of the ff is not part of polya's 4 steps

  C. What is ask
• Johann is showing a a big diamond ring in niell. johann said hes planning to marry bianca.

  inductive reasoning
• What is the missing number. 2, 8, 32,___, 512,2048... What is the missing number


  128
• Involves finding the optimum method of filling up a given space such as a cubic or spherical container.

  Packing Problems
• It is evident in the natural world, specifically in how the patterns that we observe in nature follow logical and mathematical structures.

  Mathematical in Nature
• It is the science of pattern and relationship.

  Mathematics
• It makes our life orderly and systematic, and it prevents chaos; it is used to express, solve, and interpret the puzzles observed in nature.

  The use of Mathematics
• It expounds the power of reasoning, creativity,abstract or spatial thinking, critical thinking, problem-solving ability, and even effective communication skills.

  The role of mathematics
• Using mathematical tools to make sense of all existing data in generating analysis, interpretations and better decisions.

  Mathematics for organization
• Applying the concept of probability to calculate the chance of an event occurring like weather forecasts, meteor showers and eclipses.

  Mathematics for Prediction
• Through its usage, man is able to exert control over himself and the effects of nature such as threat of climate change and global warming.

  Mathematics for Control
• Regular, repeated, recurring forms or designs

  Examples

  1. Man-made patterns

  2. Nature patterns

  Patterns
• an expression of mathematics which are sequences that repeat and following rules as a way to calculate or solve a problem.

  Mathematical Pattern
• an ordered list of numbers called terms, that may have repeated values of which arrangement of these terms is set by a definite rule.

  Sequence
• are designs or patterns that are identical on both halves when folded.

  Symmetrical patterns
• are evident in most animals and humans. Snowflakes and Honeycombs contain Fractal Patterns.

  Bilateral symmetry