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 × 3 = 567.

The common difference is 15 − 9 = 6

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

In a geometric sequence, the common ratio is found by dividing the second term by the first term: 8/16 = 1/2. This ratio remains consistent throughout the sequence.

In an arithmetic sequence, each term increases by the same amount, called the common difference. Here, the sequence is 3, 7, 11, 15, ...

• The common difference is 7 − 3 = 4 (each term adds 4).
• To find the 5th term, start with the 4th term (15) and add 4: 15 + 4 = 19. So, the 5th term is 19.