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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: 1,1,2,3,.

  • A5,13,21,34
  • B5,9,14,23
  • C6,9,15,24
  • D5,8,13,21
  • E6,18,34,43

Q2:

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

  • A3+26
  • B6+23
  • C10+19
  • D1+28

Q5:

Write 53 as a sum of two square numbers.

  • A16+37
  • B25+28
  • C9+44
  • D4+49

Q6:

Find the next three terms of the harmonic sequence 1,14,19,.

  • A114,118,122
  • B111,115,119
  • C117,123,129
  • D114,120,126
  • E114,119,124

Q7:

Find the next three terms of the arithmetic sequence 9,8,7,.

  • A9,8,7
  • B6,5,4
  • C6,4,2
  • D5,3,1
  • E5,4,3

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.

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