This lesson includes 4 additional questions and 126 additional question variations for subscribers.

# Lesson Worksheet: Types of Sequences Mathematics

In this worksheet, we will practice understanding the features of different types of sequences including arithmetic, geometric, harmonic, Fibonacci, triangular, square, and cubic sequences.

**Q1: **

Find the next four terms of the Fibonacci-like sequence: .

- A
- B
- C
- D
- E

**Q2: **

The first three square numbers of a sequence are 1, 4, and 9. Find the square number.

**Q3: **

The first three triangular numbers of a sequence are 1, 3, and 6. Find the 4th triangular number.

**Q4: **

Write 29 as a sum of two triangular numbers.

- A
- B
- C
- D

**Q5: **

Write 53 as a sum of two square numbers.

- A
- B
- C
- D

**Q6: **

Find the next three terms of the harmonic sequence .

- A
- B
- C
- D
- E

**Q7: **

Find the next three terms of the arithmetic sequence .

- A
- B
- C
- D
- E

**Q8: **

In how many different ways can you write the number 130 as a sum of two square numbers?

- A2 different ways
- B3 different ways
- C0 different ways
- D4 different ways
- E1 different way

**Q9: **

In how many different ways can you write the number 81 as a sum of two triangular numbers?

**Q10: **

True or False: The number 28 can be written as a sum of two cube numbers.

- ATrue
- BFalse