ACT Math · Functions

Sequences and series practice questions

Each free question on this page comes with its answer and a full explanation.

  1. Question 59A sequence is defined by a_n = 3n - 2. What is a_10?
  2. Question 100A geometric sequence has first term 3 and common ratio 2. What is the 6th term?
  3. Question 145An arithmetic sequence has first term 5 and common difference 3. What is the sum of the first 10 terms?
  4. Question 189A sequence is defined recursively by a_1 = 4 and a_n = 2a_n-1 + 3. What is a_4?
  5. Question 237A theater has 20 seats in the first row. Each subsequent row has 4 more seats than the row before it. How many seats are in the…
  6. Question 245A sequence is defined by a_1 = 100 and a_n = a_n-1 - 7. What is a_5?

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