Worksheet: Types of Sequences

In this worksheet, we will practice identifying, from its pattern, whether a given sequence is arithmetic, geometric, or neither.

Q1:

What kind of sequence is the following: 1 , 1 1 0 , 1 1 0 0 , 1 1 0 0 0 , ?

  • Ageometric and arithmetic
  • Barithmetic only
  • Cneither geometric nor arithmetic
  • Dgeometric only

Q2:

What kind of sequence is the following: 1 2 , 1 3 6 , 2 3 6 , 1 1 2 , 4 3 6 , ?

  • A neither geometric nor arithmetic
  • B geometric only
  • C geometric and arithmetic
  • D arithmetic only

Q3:

What kind of sequence is the following: 1 , 0 . 1 , 0 . 0 1 , 0 . 0 0 1 , ?

  • A geometric and arithmetic
  • B arithmetic only
  • C neither geometric nor arithmetic
  • D geometric only

Q4:

What kind of sequence is the following: 2 3 , 2 3 , 2 3 , 2 3 , ?

  • Ageometric only
  • Barithmetic only
  • Cneither geometric nor arithmetic
  • Dgeometric and arithmetic

Q5:

What kind of sequence is the following: 0 . 1 , 0 . 1 1 , 0 . 1 1 1 , 0 . 1 1 1 1 , ?

  • A arithmetic only
  • B geometric only
  • C geometric and arithmetic
  • D neither geometric nor arithmetic

Q6:

Amira has 223 pennies in her piggy bank. Each week after that, she puts in another 50 pennies.

What type of sequence do the successive amounts in her piggy bank make?

  • Aneither geometric nor arithmetic
  • Bgeometric only
  • Cgeometric and arithmetic
  • Darithmetic only

List the first four terms of the sequence of the amounts starting with 223 as the first term.

  • A223, 273, 323, 373
  • B233, 203, 173, 143
  • C233, 283, 313, 343
  • D223, 173, 123, 73
  • E233, 293, 353, 413

For , let be the number of pennies Amira has after n weeks so that . What is ?

Is true? If so, express it in words without referring to the function A.

  • AYes, after six weeks, Amira had more than 500 pennies in her piggy bank.
  • BYes, after six weeks, Amira has 500 pennies in her piggy bank.
  • CNo, before six weeks, Amira has less than 500 pennies in her piggy bank.
  • DNo, after six weeks, Amira had less than 500 pennies in her piggy bank.
  • EYes, before six weeks, Amira has more than 500 pennies in her piggy bank.

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