Topics
Sequences and Series
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CanadaON
Grade 11

Finding the Common Ratio

Lesson
Practice

Interactive practice questions

How can the common ratio of a geometric sequence be obtained?

By choosing any term after the first and multiplying it by the previous term.

A

By choosing any term after the first and subtracting the previous term from it.

B

By choosing any term after the first and dividing it by the previous term.

C

By choosing any term after the first and multiplying it by the next term.

D
Easy
< 1min

Consider the following sequence.

$11$11, $-99$−99, $891$891, $-8019$−8019, ...

Easy
< 1min

Consider the following sequence.

$4$4, $-28$−28, $224$224, $-1372$−1372, ...

Easy
< 1min

Consider the following sequence.

Easy
< 1min
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Outcomes

11U.C.1.2

Determine and describe a recursive procedure for generating a sequence, given the initial terms and represent sequences as discrete functions in a variety of ways

11U.C.1.4

Represent a sequence algebraically using a recursion formula, function notation, or the formula for the nth term and describe the information that can be obtained by inspecting each representation

11U.C.2.2

Determine the formula for the general term of an arithmetic sequence [i.e., t_n = a + (n –1)d ] or geometric sequence (i.e., tn = a x r^(n – 1)), through investigation using a variety of tools and strategies and apply the formula to calculate any term in a sequence

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