Number Patterns

Question 1

What is an approximate value of pi (π)?

Answer 1

3.141

Question 2

The golden ratio is often denoted by which Greek letter

Answer 2

Phi (φ)

Question 3

Each number is the sum of the two preceding ones

Answer 3

Fibonacci sequence?

Question 4

In Pascal’s triangle, each number is the sum of which numbers?

Answer 4

The two numbers diagonally above it.

Question 5

What is the limit of the ratio of consecutive Fibonacci numbers (bigger divided by the smaller number) as they become very large?

Answer 5

Golden Ratio

Question 6

an irrational number, i.e., it cannot be written as a fraction of two integers.

Answer 6

pi (π)

Question 7

The decimal expansion of -____ is nonterminating and nonrepeating:

Answer 7

pi (π)

Question 8

number of the golden ratio

Answer 8

φ=1.618033988749…

Question 9

also an irrational number like pi

Answer 9

Golden Ratio

Question 10

The golden ratio is the proportion of the so-called

Answer 10

golden rectangle

Question 11

logarithmic spiral whose growth rate is the golden ratio.

Answer 11

golden spiral

Question 12

Leonard of Pisa is also known as

Answer 12

Fibonacci

Question 13

Which shape is closely associated with the golden ratio?

Answer 13

rectangle

Question 14

What is the value of the 5th number in the Fibonacci sequence?

Answer 14

5

Question 15

How did Archimedes compute an approximate value of π?

Answer 15

using the method of exhaustion

Question 16

In Pascal’s triangle, which row corresponds to the coefficients of the expansion of the cube of a+b?

Answer 16

4th row

Question 17

These numbers are associated with bad luck.

Answer 17

13, 4