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Worksheet: Finding the nth Term of an Arithmetic Sequence

Q1:

Find the order and the value of the last negative term in the arithmetic sequence ( 1 3 8 , 1 2 3 , 1 0 8 , ) .

  • A11, 1 8
  • B9, 1 8
  • C11, 3
  • D10, 3

Q2:

Find the order and the value of the last negative term in the arithmetic sequence ( 8 6 , 7 7 , 6 8 , ) .

  • A11, 1 4
  • B9, 1 4
  • C11, 5
  • D10, 5

Q3:

Find the order and value of the first term which is greater than 190 in the arithmetic sequence ( 2 5 , 1 7 , 9 , ) , where 𝑛 1 .

  • Athe order = 2 9 , the value = 1 9 9
  • Bthe order = 2 7 , the value = 1 8 3
  • Cthe order = 2 2 3 8 , the value = 1 9 0
  • Dthe order = 2 8 , the value = 1 9 1

Q4:

Find the order and value of the first term which is greater than 120 in the arithmetic sequence ( 1 3 , 4 , 5 , ) , where 𝑛 1 .

  • Athe order = 1 7 , the value = 1 3 1
  • Bthe order = 1 5 , the value = 1 1 3
  • Cthe order = 1 4 2 9 , the value = 1 2 0
  • Dthe order = 1 6 , the value = 1 2 2
  • Ethe order = 1 6 , the value = 1 2 1

Q5:

Find the of the sequence given that and . Then find the order and value of the first negative term in the sequence.

  • A , 8, 5
  • B , 7,
  • C , 7, 5
  • D , 8,

Q6:

Find the of the sequence given that and . Then find the order and value of the first negative term in the sequence.

  • A , 60, 1
  • B , 59,
  • C , 59, 1
  • D , 60,

Q7:

Find the order and the value of the last positive term in the arithmetic sequence ( 3 7 , 3 5 , 3 3 , ) .

  • A20, 3
  • B18, 3
  • C20, 1
  • D19, 1

Q8:

Find the order and the value of the last positive term in the arithmetic sequence ( 1 1 7 , 1 0 6 , 9 5 , ) .

  • A12, 18
  • B10, 18
  • C12, 7
  • D11, 7

Q9:

Find the order and value of the first negative term in the arithmetic sequence .

  • A ,
  • B , 6
  • C ,
  • D ,

Q10:

Find the order and value of the first negative term in the arithmetic sequence .

  • A ,
  • B , 0
  • C ,
  • D ,