Lesson 2: Patterns in Numbers

Question 1

This is also known as first –degree function where the involved variables are all raised to one. Its graph is a straight line, continuous on both ends. 𝐲=𝐚𝐱+𝐛

Answer 1

LINEAR FUNCTION

Question 2

This is also known as second –degree function where one of the involved variables is raised to two (2) or squared and the rest are all raised to one (1). Its graph is a parabolic curve, continuous on both ends. 𝐲=𝐚𝐱²+𝐛𝐱+𝐜

Answer 2

QUADRATIC FUNCTION

Question 3

This is somewhat similar to quadratic function, only that, the base is a constant and the exponent is a variable. 𝐲=𝐤𝐚ⁿ

Answer 3

EXPONENTIAL FUNCTION

Question 4

It is a sequence for which any element, except the first, can be obtained by adding a constant to the preceding element. The constant addend is called the common difference. This is similar to a linear function. tₙ=t₁+d(n−1)

Answer 4

ARITHMETIC SEQUENCE

Question 5

It is a sequence such that any element after the first can be obtained by multiplying the preceding element by a constant. The constant multiplier is called the common ratio. This is similar to exponential function. tₙ=t₁r^(n-1)

Answer 5

GEOMETRIC SEQUENCE

Question 6

If the first differences are the same in a sequence, what function is it?

Answer 6

LINEAR FUNCTION

Question 7

If the second differences are the same in a sequence, what function is it?

Answer 7

QUADRATIC FUNCTION

Question 8

1, 10, 19, 28. What is the difference?

Answer 8

9

Question 9

27, 21, 15, 9, 3. What is the difference?

Answer 9

-6