Quadratic sequences

What you'll learn

1. 1

   A quadratic sequence grows by adding a changing amount each time — not a steady jump like 2,4,6,8.

2. 2

   Build the first 3 terms of the sequence: 1, 4, 9 — using square tiles.

3. 3

   Find the next term in: 2, 6, 12, 20, ...

4. 4

   What are the gaps in this sequence: 3, 8, 15, 24?

5. 5

   Drag the tiles to show the 4th term of the sequence: 1, 4, 9, ?

6. 6

   For the sequence 2, 6, 12, 20, 30 — what is the gap between the 4th and 5th term?

7. 7

   The nth term of a quadratic sequence is n² + 3. Find the 4th term.