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Lesson: Writing Arithmetic Series in Sigma Notation

Sample Question Videos

Worksheet • 12 Questions • 1 Video

Q1:

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

  • A 6 π‘Ÿ = 1 ο„š ( 4 9 π‘Ÿ + 1 4 )
  • B 6 9 π‘Ÿ = 6 3 ο„š ( 2 7 π‘Ÿ + 3 6 )
  • C 3 0 8 π‘Ÿ = 6 3 ο„š ( 4 9 π‘Ÿ + 1 4 )
  • D 3 0 8 π‘Ÿ = 1 ο„š ( 2 7 π‘Ÿ + 3 6 )
  • E 2 4 5 π‘Ÿ = 6 3 ο„š ( 4 9 π‘Ÿ + 1 4 )

Q2:

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

  • A 6 π‘Ÿ = 1 ο„š ( 3 7 π‘Ÿ + 1 2 )
  • B 5 5 π‘Ÿ = 4 9 ο„š ( 3 4 π‘Ÿ + 1 5 )
  • C 2 3 4 π‘Ÿ = 4 9 ο„š ( 3 7 π‘Ÿ + 1 2 )
  • D 2 3 4 π‘Ÿ = 1 ο„š ( 3 4 π‘Ÿ + 1 5 )
  • E 1 8 5 π‘Ÿ = 4 9 ο„š ( 3 7 π‘Ÿ + 1 2 )

Q3:

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

  • A 1 5 π‘Ÿ = 1 ο„š ( 3 0 π‘Ÿ + 1 1 )
  • B 5 6 π‘Ÿ = 4 1 ο„š ( βˆ’ 3 π‘Ÿ + 4 4 )
  • C 4 6 1 π‘Ÿ = 4 1 ο„š ( 3 0 π‘Ÿ + 1 1 )
  • D 4 6 1 π‘Ÿ = 1 ο„š ( βˆ’ 3 π‘Ÿ + 4 4 )
  • E 4 2 0 π‘Ÿ = 4 1 ο„š ( 3 0 π‘Ÿ + 1 1 )

Q4:

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

  • A 9 π‘Ÿ = 1 ο„š ( 4 8 π‘Ÿ + 1 7 )
  • B 7 4 π‘Ÿ = 6 5 ο„š ( 2 6 π‘Ÿ + 3 9 )
  • C 4 4 9 π‘Ÿ = 6 5 ο„š ( 4 8 π‘Ÿ + 1 7 )
  • D 4 4 9 π‘Ÿ = 1 ο„š ( 2 6 π‘Ÿ + 3 9 )
  • E 3 8 4 π‘Ÿ = 6 5 ο„š ( 4 8 π‘Ÿ + 1 7 )

Q5:

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

  • A 𝑛 π‘Ÿ = 1 ο„š ( 1 3 π‘Ÿ + 1 3 )
  • B ( 1 3 𝑛 + 1 3 ) π‘Ÿ = 2 6 ο„š ( 3 π‘Ÿ + 2 3 )
  • C 𝑛 π‘Ÿ = 2 6 ο„š ( 1 3 π‘Ÿ + 1 3 )
  • D 𝑛 π‘Ÿ = 1 ο„š ( 3 π‘Ÿ + 2 3 )
  • E ( 1 3 𝑛 + 1 3 ) π‘Ÿ = 2 6 ο„š ( 1 3 π‘Ÿ + 1 3 )

Q6:

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

  • A 𝑛 π‘Ÿ = 1 ο„š ( 2 1 π‘Ÿ + 1 9 )
  • B ( 2 1 𝑛 + 1 9 ) π‘Ÿ = 4 0 ο„š ( 1 0 π‘Ÿ + 3 0 )
  • C 𝑛 π‘Ÿ = 4 0 ο„š ( 2 1 π‘Ÿ + 1 9 )
  • D 𝑛 π‘Ÿ = 1 ο„š ( 1 0 π‘Ÿ + 3 0 )
  • E ( 2 1 𝑛 + 1 9 ) π‘Ÿ = 4 0 ο„š ( 2 1 π‘Ÿ + 1 9 )

Q7:

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

  • A 𝑛 π‘Ÿ = 1 ο„š ( 2 π‘Ÿ + 4 0 )
  • B ( 2 𝑛 + 4 0 ) π‘Ÿ = 4 2 ο„š ( 3 3 π‘Ÿ + 9 )
  • C 𝑛 π‘Ÿ = 4 2 ο„š ( 2 π‘Ÿ + 4 0 )
  • D 𝑛 π‘Ÿ = 1 ο„š ( 3 3 π‘Ÿ + 9 )
  • E ( 2 𝑛 + 4 0 ) π‘Ÿ = 4 2 ο„š ( 2 π‘Ÿ + 4 0 )

Q8:

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

  • A 𝑛 π‘Ÿ = 1 ο„š ( 7 π‘Ÿ + 5 )
  • B ( 7 𝑛 + 5 ) π‘Ÿ = 1 2 ο„š ( 2 9 π‘Ÿ βˆ’ 1 7 )
  • C 𝑛 π‘Ÿ = 1 2 ο„š ( 7 π‘Ÿ + 5 )
  • D 𝑛 π‘Ÿ = 1 ο„š ( 2 9 π‘Ÿ βˆ’ 1 7 )
  • E ( 7 𝑛 + 5 ) π‘Ÿ = 1 2 ο„š ( 7 π‘Ÿ + 5 )

Q9:

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

Q10:

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

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

Q11:

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

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

Q12:

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

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