Maths

Question 1

What is a logarithmic function?

Answer 1

A logarithmic function is the inverse of an exponential function. In other words, as n doubles, the function increases by 1. For f(n) = log₂(n), when n = 2 its size is 1, and when n = 4 its size is 2

Question 2

What is an exponential function?

Answer 2

An exponential function is a function that grows exponentially. In other words, as n increases by 1, the function doubles in size. For example, for f(n) = 2ⁿ, when n = 2 its size is 4, and when n = 3 its size is 8

Question 3

1. What is one way of thinking about exponents?
2. What is one way of thinking about logarithms?

Answer 3

1. You can think of exponents as repeated multiplication of base number
2. You can think of logarithms as repeated division by base number

Question 4

What is a “permutation”

Answer 4

A permutation is an arrangement or combination of elements

Question 5

What does it mean if set B is a subset of A?

Answer 5

It means all of the elements of B exist in A

Question 6

1. What is an arithmetic sequence?
2. What is the formula to calculate the sum of an arithmetic sequence?

Answer 6

1. An arithmetic sequence is a sequence of elements whose differences are constant
2. sum = (firstElement + lastElement) * size / 2

Question 7

1. What is a geometric sequence?
2. What is the formula to calculate the sum of a geometric sequence?

Answer 7

1. A geometric sequence is a sequence of elements whose differences are a constant ratio
2. firstElement * (1 - ratio^size) / (1 - ratio)