Worksheet: Representing Sequences

In this worksheet, we will practice representing a sequence as a function of a positive integer variable called an index (n).

Q1:

Mrs. Jones has $3,250 in her bank account. If she plans to deposit $100 per month, write the first 6 terms of a sequence that would represent her monthly account balances starting with her current balance as the first term.

  • A 3 , 3 5 0 , 3 , 4 5 0 , 3 , 5 5 0 , 3 , 6 5 0 , 3 , 7 5 0 , 3 , 8 5 0
  • B 3 , 3 5 0 , 3 , 5 5 0 , 3 , 6 5 0 , 3 , 7 5 0 , 3 , 8 5 0 , 3 , 9 5 0
  • C 3 , 2 5 0 , 3 , 3 5 0 , 3 , 4 5 0 , 3 , 5 5 0 , 3 , 6 5 0 , 3 , 7 5 0
  • D 3 , 2 5 0 , 3 , 5 5 0 , 3 , 6 5 0 , 3 , 7 5 0 , 3 , 8 5 0 , 3 , 9 5 0
  • E 3 , 2 5 0 , 3 , 4 5 0 , 3 , 5 5 0 , 3 , 6 5 0 , 3 , 7 5 0 , 3 , 8 5 0

Q2:

Which of the following expressions can be used to find the 𝑛th term of the given sequence, where 𝑛 represents the position of a term in the sequence?

Position 1 2 3 4 5
Value of Term 5 8 11 14 17
  • A 3 𝑛 + 2
  • B 𝑛 + 2
  • C 3 𝑛
  • D 3 𝑛 + 2
  • E 𝑛 + 2

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