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

Start Practicing

Worksheet: Writing Arithmetic Series in Sigma Notation

Q1:

Find the value of 7 + 9 + 1 1 + + 3 7 1 2 + 1 4 + 1 6 + + 1 7 2 .

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

Q2:

Find the value of 1 + 4 + 7 + + 1 3 8 8 + 9 8 + 1 0 8 + + 1 3 8 .

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

Q3:

Find the value of 9 + 1 9 + 2 9 + + 1 1 9 2 4 + 3 0 + 3 6 + + 7 2 .

  • A 1 1 6
  • B 9 1 6
  • C 6 1 1
  • D 1 6 9
  • E 4 3

Q4:

Express the series 2 6 + 3 9 + 5 2 + + ( 1 3 𝑛 + 1 3 ) in sigma notation.

  • A ( 1 3 𝑛 + 1 3 ) 𝑟 = 2 6 ( 1 3 𝑟 + 1 3 )
  • B 𝑛 𝑟 = 2 6 ( 1 3 𝑟 + 1 3 )
  • C 𝑛 𝑟 = 1 ( 3 𝑟 + 2 3 )
  • D 𝑛 𝑟 = 1 ( 1 3 𝑟 + 1 3 )
  • E ( 1 3 𝑛 + 1 3 ) 𝑟 = 2 6 ( 3 𝑟 + 2 3 )

Q5:

Express the series 4 0 + 6 1 + 8 2 + + ( 2 1 𝑛 + 1 9 ) in sigma notation.

  • A ( 2 1 𝑛 + 1 9 ) 𝑟 = 4 0 ( 2 1 𝑟 + 1 9 )
  • B 𝑛 𝑟 = 4 0 ( 2 1 𝑟 + 1 9 )
  • C 𝑛 𝑟 = 1 ( 1 0 𝑟 + 3 0 )
  • D 𝑛 𝑟 = 1 ( 2 1 𝑟 + 1 9 )
  • E ( 2 1 𝑛 + 1 9 ) 𝑟 = 4 0 ( 1 0 𝑟 + 3 0 )

Q6:

Express the series 4 2 + 4 4 + 4 6 + + ( 2 𝑛 + 4 0 ) in sigma notation.

  • A ( 2 𝑛 + 4 0 ) 𝑟 = 4 2 ( 2 𝑟 + 4 0 )
  • B 𝑛 𝑟 = 4 2 ( 2 𝑟 + 4 0 )
  • C 𝑛 𝑟 = 1 ( 3 3 𝑟 + 9 )
  • D 𝑛 𝑟 = 1 ( 2 𝑟 + 4 0 )
  • E ( 2 𝑛 + 4 0 ) 𝑟 = 4 2 ( 3 3 𝑟 + 9 )

Q7:

Express the series 1 2 + 1 9 + 2 6 + + ( 7 𝑛 + 5 ) in sigma notation.

  • A ( 7 𝑛 + 5 ) 𝑟 = 1 2 ( 7 𝑟 + 5 )
  • B 𝑛 𝑟 = 1 2 ( 7 𝑟 + 5 )
  • C 𝑛 𝑟 = 1 ( 2 9 𝑟 1 7 )
  • D 𝑛 𝑟 = 1 ( 7 𝑟 + 5 )
  • E ( 7 𝑛 + 5 ) 𝑟 = 1 2 ( 2 9 𝑟 1 7 )

Q8:

Find the value of ( 6 + 7 + 8 + + 1 4 ) ( 6 + 7 + 8 + + 1 3 ) 2 2 .

Q9:

Represent the series 6 3 + 1 1 2 + 1 6 1 + + 3 0 8 using sigma notation.

  • A ( 4 9 𝑟 + 1 4 )
  • B ( 4 9 𝑟 + 1 4 )
  • C ( 2 7 𝑟 + 3 6 )
  • D ( 4 9 𝑟 + 1 4 )
  • E ( 2 7 𝑟 + 3 6 )

Q10:

Represent the series 4 9 + 8 6 + 1 2 3 + + 2 3 4 using sigma notation.

  • A ( 3 7 𝑟 + 1 2 )
  • B ( 3 7 𝑟 + 1 2 )
  • C ( 3 4 𝑟 + 1 5 )
  • D ( 3 7 𝑟 + 1 2 )
  • E ( 3 4 𝑟 + 1 5 )

Q11:

Represent the series 4 1 + 7 1 + 1 0 1 + + 4 6 1 using sigma notation.

  • A ( 3 0 𝑟 + 1 1 )
  • B ( 3 0 𝑟 + 1 1 )
  • C ( 3 𝑟 + 4 4 )
  • D ( 3 0 𝑟 + 1 1 )
  • E ( 3 𝑟 + 4 4 )

Q12:

Represent the series 6 5 + 1 1 3 + 1 6 1 + + 4 4 9 using sigma notation.

  • A ( 4 8 𝑟 + 1 7 )
  • B ( 4 8 𝑟 + 1 7 )
  • C ( 2 6 𝑟 + 3 9 )
  • D ( 4 8 𝑟 + 1 7 )
  • E ( 2 6 𝑟 + 3 9 )