127k views
0 votes
1. Formulate a series and show a proof by PMI to validate.

2. Give at least one example each on the operations of functions.


3. In at least 50 words; What have you learned in GE4?

User Kwang
by
7.9k points

1 Answer

3 votes

Series: 1 + 3 + 5 + 7 + 9 + ...

Proof by PMI:

P: The series starts with 1 and increases by 2 for each consecutive term.

M: The nth term of the series is 2n - 1.

I: The series is an arithmetic series with a common difference of 2.

Operations of functions:

Addition: (f + g)(x) = f(x) + g(x)

Example: f(x) = 2x + 1 and g(x) = 3x - 2, then (f + g)(x) = (2x + 1) + (3x - 2) = 5x - 1

Multiplication: (f * g)(x) = f(x) * g(x)

Example: f(x) = 2x + 1 and g(x) = 3x - 2, then (f * g)(x) = (2x + 1) * (3x - 2) = 6x^2 - 2x + 3x - 2 = 6x^2 + x - 2

GE4 is a mathematical modeling course, in which I have learned how to use mathematical methods and models to analyze and solve real-world problems. I learned how to use statistical analysis, optimization, and simulation to make predictions and decisions. I also learned how to use various tools and software to create and analyze models. I learned to use mathematical tools to solve problems in different fields such as finance, engineering, and science.

User Tiziano Bruschetta
by
8.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.