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Lesson: Introduction to Arithmetic Sequences

Sample Question Videos

Worksheet • 15 Questions • 2 Videos

Q1:

Write the next three terms of the arithmetic sequence 1 5 . 8 , 1 4 . 6 , 1 3 . 4 , 1 2 . 2 , … .

  • A 1 1 , 9 . 8 , 8 . 6
  • B 9 . 8 , 8 . 6 , 7 . 2
  • C 1 1 , 8 . 6 , 7 . 4
  • D 9 . 8 , 8 . 6 , 7 . 4
  • E 1 1 , 9 . 8 , 7 . 4

Q2:

Write the next three terms of the arithmetic sequence 1 8 . 5 , 1 7 . 9 , 1 7 . 3 , 1 6 . 7 , … .

  • A 1 6 . 1 , 1 5 . 5 , 1 4 . 9
  • B 1 5 . 5 , 1 4 . 9 , 1 4 . 7
  • C 1 6 . 1 , 1 4 . 9 , 1 4 . 3
  • D 1 5 . 5 , 1 4 . 9 , 1 4 . 3
  • E 1 6 . 1 , 1 5 . 5 , 1 4 . 3

Q3:

Consider the finite sequence , where two values are missing. We can think of this sequence as the function whose graph is sketched.

What is the domain of the function?

  • A
  • B
  • C
  • D
  • EThe set of positive integers

What is the range of the function?

  • A
  • B
  • C
  • DThe set of all integers
  • E

Q4:

If the multiples of any number are written in increasing order, do they form an arithmetic sequence?

  • Ano
  • Byes

Q5:

The sequence ( 𝑇 ) 𝑛 is an arithmetic sequence if 𝑇 βˆ’ 𝑇 𝑛 + 1 𝑛 is .

  • A not constant
  • B constant

Q6:

Write the next three terms of the following sequence: 3 1 , 5 7 , 8 3 , 1 0 9 , … .

  • A 1 3 5 , 1 6 1 , 1 8 7
  • B 1 6 1 , 1 8 8 , 2 1 4
  • C 1 3 5 , 1 3 7 , 1 3 8
  • D 1 6 1 , 1 8 7 , 2 1 3
  • E 1 3 5 , 1 6 1 , 2 1 3

Q7:

Write the next three terms of the following sequence: 7 0 , 7 7 , 8 4 , 9 1 , … .

  • A 9 8 , 1 0 5 , 1 1 2
  • B 1 0 5 , 1 1 3 , 1 2 0
  • C 9 8 , 1 0 0 , 1 0 1
  • D 1 0 5 , 1 1 2 , 1 1 9
  • E 9 8 , 1 0 5 , 1 1 9

Q8:

Use the graph to decide whether the following sequence is an arithmetic sequence.

Order 1st 2nd 3rd 4th 5th
Term 5 11 17 21 25
  • AIt is an arithmetic sequence.
  • BIt is not an arithmetic sequence.

Q9:

The common difference of an arithmetic sequence, denoted as 𝑑 , is for each 𝑛 ∈ β„€ + .

  • A not constant
  • B constant

Q10:

Is the sequence 𝑇 = βˆ’ 7 𝑛 βˆ’ 6 2 𝑛 increasing or decreasing?

  • Aincreasing
  • Bdecreasing

Q11:

Is the sequence ( 2 , βˆ’ 3 , βˆ’ 8 , βˆ’ 1 3 , … ) increasing or decreasing?

  • Aincreasing
  • Bdecreasing

Q12:

Is the sequence ( 6 0 , 6 6 , 7 2 , 7 8 , … ) increasing or decreasing?

  • Adecreasing
  • Bincreasing

Q13:

An arithmetic progression starting at π‘Ž and ending at 𝑙 has a common difference equal to 𝑑 . What is the second term from the end?

  • A 𝑙 βˆ’ 𝑑
  • B 𝑙
  • C 𝑙 + 𝑑
  • D 𝑙 βˆ’ 2 𝑑

Q14:

Which of the following is an arithmetic sequence?

  • A ( βˆ’ 2 , βˆ’ 1 0 , βˆ’ 1 8 , βˆ’ 2 6 , … )
  • B ο€Ό 1 3 , 1 1 0 , 1 1 7 , 1 2 4 , … 
  • C ( 6 , βˆ’ 1 2 , 2 4 , βˆ’ 4 8 , … )
  • D ο€Ή 𝑛 , 𝑛 , 𝑛 , 𝑛 , …  6 9 1 2 1 5
  • E ( βˆ’ 9 , 7 2 , 1 4 4 , 2 1 6 , … )

Q15:

Find 𝑛 , given 𝑇 = 4 𝑛 + 5 𝑛 and 𝑇 = 2 3 7 𝑛 .

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