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2.5 MATH 301 Quiz Flashcards | StudBud

Explore/2.5 MATH 301 Quiz

2.5 MATH 301 Quiz

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Mathematical Induction Extended Set Operations Indexed Families of Sets Well ordering principle Fibonacci sequence

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Questions 5

Answers

1
WOP stands for...
Principle of Complete Induction
Well Ordering Principle
Witches of Plymouth
Principle of Mathematical Induction
2
What is the next number in the Fibonacci sequence? 1,1,2,3,5,8,13,...
27
14
21
24
3
If A_n=\left(-\frac{1}{n},3+\frac{1}{n}\right), what is ∩A_n?
\left(-1,3\right)
\left(-ε,3+ε\right)
\left[0,3\right]
\left(0,4\right)
4
To prove 1+2+...+n=\frac{n\left(n+1\right)}{2} for all n∈ℕ, which come up in the P_n⇒P_{n+1} part?
\frac{n\left(n+1\right)}{2}=n^2+\frac{1}{2}
\frac{n^2+3n+2}{2}=\frac{\left(n+2\right)\left(n+1\right)}{2}
\frac{n\left(n+1\right)}{2}+n+1=\frac{\left(n+1\right)\left(n+1\right)}{2}
1+2+...+n+\left(n+1\right)=\frac{n\left(n+1\right)}{2}+n+1
5
This is Peppa Pig!
True
False