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21.1/21.2 Geometric Sequences CW

Last updated about 5 years ago
15 questions
1

Tell whether each representation is an example of an arithmetic sequence or geometric sequence.

  • -1500, 150, -15, ...
  • 1,3,5,7,...
  • 70,60,50,40...
  • 2,4,8,16,...
  • Geometric Sequence
  • Arithmetic Sequence
1

Name two differences between arithmetic and geometric sequences.

1

Determine whether the following represents a geometric sequence. If yes, identify the common ratio.

1

Determine whether the following represents a geometric sequence. If yes, identify the common ratio.

1

Determine whether the following represents a geometric sequence. If yes, identify the common ratio.

1

Given the geometric sequence, find the next three terms.
-5, -25, -125, ________, ________, ________

1

Write the rule for the nth term of the following geometric sequence.

1

Using the formula you found in #7, find a7.

1

Write the explicit formula for the nth term of the following geometric sequence. Write in FUNCTION NOTATION

1

Using the formula you found in #9, find a7.

1

Write a recursive formula for the following geometric sequence. Include the recursive formula in function notation.

1

Write an explicit formula for the sequence :

1

A contestant on a game show wins $100 for answering a question correctly in Round 1. In each subsequent round, the contestant’s winnings are doubled if she gives a correct answer. If the contestant gives an incorrect answer, she loses everything.

A. Write an explicit formula that gives the contestant’s winnings in round n, assuming she answers all questions correctly.

1

A contestant on a game show wins $100 for answering a question correctly in Round 1. In each subsequent round, the contestant’s winnings are doubled if she gives a correct answer. If the contestant gives an incorrect answer, she loses everything.

B. How much does the contestant win in Round 10, assuming she answers all questions correctly?

1