Arithmetic Sequences

Which function describes the arithmetic sequence shown?

3, 1, −1, −3, −5, −7, ...

• ƒ(x) = 2x + 5

• ƒ(x) = 2x − 5

• ƒ(x) = −2x + 5

• ƒ(x) = −2x − 5

An arithmetic sequence is a sequence with a common _________.

• difference

• ratio

• absolute value

• domain

In an arithmetic sequence, the first term is equal to 4,and the third term, is equal to 14. Which number represents the common difference of the arithmetic sequence?

• d=3

• d=4

• d=5

• d=6

In the recursive formula a_n = a_n−1 + 5, the value of the previous term is represented by

• a_n

• 
  a₅

• a_n+5

• 
  a_n−1

• a_n−5

Which function describes the arithmetic sequence shown?
−4, 0, 4, 8, 12, 16, ...

• ƒ(x) = 4x + 8

• ƒ(x) = 4x − 8

• 
  ƒ(x) = −4x + 8

• ƒ(x) = −4x − 8

Which TWO identify the same sequence?

• 
  f(x) = 6x + 4 for x = {1, 2, 3, ...}

• 
  f(x) = 10x + 4 for x = {1, 2, 3, ...}

• a₁ = 6 and a_{n + 1} = a_n + 4 for n = {1, 2, 3, ...}

• 
  a₁ = 10 and a_{n + 1} = a_n + 4 for n = {1, 2, 3, ...}

• a₁ = 10 and a_{n + 1} = a_n + 6 for n = {1, 2, 3, ...}

There are 20 rows of seats on a concert hall: 25 seats are in the 1^st row, 27 seats on the 2^nd row, 29 seats on the 3^rd row, and so on. How many seats are in the last row?

• 950

• 67

• 65

• 63

There are 130 students in grade one, 210 students in grade two and 290 students in grade three in Masipag Elementary School, and so on in an arithmetic sequence. What’s the total amount of students in grade 6?

• 370

• 450

• 530

• 610

How many total black dots would be in the 10th step in this arithmetic step sequence above?

Does the following table represent a geometric sequence or an arithmetic? Explain 

• geometric, it has a constant rate

• geometric, it has a constant percentage

• arithmetic, it has a constant rate

• arithmetic, it has a constant percentage