# 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

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