# Quadratic Sequences Questions

These exam-style quadratic sequences questions will test your knowledge on finding the πth term of quadratic sequences. You can revise how to find the πth term right here or download our FREE sequences bundle.

## Quadratic Sequences Questions

1. Find the πth term of the following sequence: 0, 3, 8, 15, 24, …

2. Find the πth term of the following sequence: -1, 5, 15, 29, 47, …

3. Find the πth term of the following sequence: 8, 15, 28, 47, 72, …

4. The πth term of a quadratic sequence is 5π2. Justin says the 4th term will be 400. Do you agree with Justin? Explain your answer.

5. The sequence of triangular numbers starts 1, 3, 6, 10, 15, …
a. Explain why this is a quadratic sequence.
b. Find the πth term for the sequence of triangular numbers.

6. The πth term of a quadratic sequence is π2 β 4π + 3. Chris says no term of this sequence will be negative. Give an example to show that Chris is wrong.

1. Find the πth term of the following sequence: 0, 3, 8, 15, 24, …
π2 β 1

2. Find the πth term of the following sequence: -1, 5, 15, 29, 47, …
2π2 β 3

3. Find the πth term of the following sequence: 8, 15, 28, 47, 72, …
3π2 β 2π + 7

4. The πth term of a quadratic sequence is 5π2. Justin says the 4th term will be 400. Do you agree with Justin? Explain your answer.
No, if π = 4 then 5π2 = 5 Γ 42 which is 80 not 400.

5. The sequence of triangular numbers starts 1, 3, 6, 10, 15, …
a. Explain why this is a quadratic sequence.
The first differences are not the same (2, 3, 4, 5) but the second differences are (1, 1, 1).
b. Find the πth term for the sequence of triangular numbers.
0.5π2 +  0.5π

6. The πth term of a quadratic sequence is π2 β 4π + 3. Chris says no term of this sequence will be negative. Give an example to show that Chris is wrong.
When π = 2, π2 β 4π + 3 = -1 so Chris is wrong.

Are you all squared away with these quadratic sequences questions? Whatever the answer, we have a great range of helpful blogs here! You can also subscribe to Beyond for access to thousands of secondary teaching resources. You can sign up for a free account here and take a look around at our free resources before you subscribe too.