Test: Recognizing sequences - Year 7 MCQ

In an arithmetic sequence, the common difference is the constant amount added to each term to get the next term. Subtracting the first term from the second term: 10 − 4 = 6. This difference remains consistent throughout the sequence.

In a geometric sequence, the common ratio is the factor by which each term is multiplied to get the next term. Dividing the second term by the first term: 15/5 = 3. This ratio remains consistent for the sequence.

The common difference in the sequence is 12 - 7 = 5. Adding this difference to the last term: 22 + 5 = 27.

The rule might be 'add four' or 'double the last number' for example

The common difference is 1 − (−3) = 4. The 4th term is 5 + 4 = 9.

The common ratio is 21/7 = 3 The next term is ( 189 \times 3 = 567 `.

The common difference is 15 − 9 = 6

The common difference is −1 − (−5) = 4. The next term is 7 + 4 = 11.