Sequences & Series

Work with arithmetic and geometric sequences.

12 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Find the 5th term of the arithmetic sequence 3, 7, 11, 15, ...
  2. Find the common ratio of the geometric sequence 2, 6, 18, 54.
  3. Find the 6th term of the geometric sequence 2, 6, 18, ...
  4. Find the sum of the first four terms of 3, 7, 11, 15.
  5. An arithmetic sequence has first term 5 and common difference 3. Find the 10th term.
  6. Find the sum of the arithmetic series with first term 1, last term 19, and 10 terms. (S = n/2 × (first + last))
  7. An arithmetic sequence has first term 2 and common difference 5. What is the 6th term?
  8. A geometric series has first term 1 and ratio 2. Find the sum of the first 5 terms. (S = a(rⁿ - 1)/(r - 1))
  9. What is the common difference of the arithmetic sequence 15, 11, 7, 3, ...?
  10. A geometric sequence begins 4, 20, 100, .... What is the common ratio?
  11. A geometric sequence has a first term of 3 and a common ratio of 2. Find the 4th term.
  12. An infinite geometric series has a first term of 8 and a common ratio of 0.5. Find its sum.

Answer these free