Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Introduction to Arithmetic Sequences

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

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

Q3:

Consider the finite sequence { 2 0 , 1 4 , 8 , 2 , 4 , , , 2 2 } , 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?

  • AThe set of positive integers
  • B { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , }
  • C [ 0 , )
  • D { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
  • E ( , )

What is the range of the function?

  • A { 2 0 , 1 4 , 8 , 2 , 4 , 1 0 , 1 6 , 2 2 }
  • BThe set of all integers
  • C [ 2 0 , 2 2 ]
  • D ( , )
  • E { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

Q4:

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

  • Ayes
  • Bno

Q5:

The sequence is an arithmetic sequence if is .

  • A constant
  • B not 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 , 2 1 3
  • B 1 3 5 , 1 3 7 , 1 3 8
  • C 1 6 1 , 1 8 7 , 2 1 3
  • D 1 3 5 , 1 6 1 , 1 8 7
  • E 1 6 1 , 1 8 8 , 2 1 4

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

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 not an arithmetic sequence.
  • BIt is an arithmetic sequence.

Q9:

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

  • A constant
  • B not constant

Q10:

Is the sequence increasing or decreasing?

  • Adecreasing
  • Bincreasing

Q11:

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

  • Adecreasing
  • Bincreasing

Q12:

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

  • Aincreasing
  • Bdecreasing

Q13:

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

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