Code Breaking

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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CCSS.HSF.BF.A.2

Front

How do you find the common ratio in a geometric sequence?

Back

To find the common ratio, divide any term in the sequence by the previous term.

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CCSS.HSF.BF.A.2

Front

What is the common ratio of the sequence 3, 15, 75, 375?

Back

5

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CCSS.HSF.BF.A.2

Front

What is the next term in the sequence 7, 14, 21, 28?

Back

35

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CCSS.3.OA.D.9

Front

What are the next three terms in the sequence 5, 25, 125, 625?

Back

3125, 15625, 78125

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CCSS.HSF.BF.A.2

Front

What is the rule for the sequence 97, 86, 75, 64?

Back

-11

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CCSS.HSF.BF.A.2

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Tags

CCSS.HSF.BF.A.2

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence adds a constant value (common difference) to each term, while a geometric sequence multiplies by a constant value (common ratio).

Tags

CCSS.HSF.BF.A.2

Front

If the first term of a geometric sequence is 2 and the common ratio is 3, what is the 4th term?

Back

The 4th term is 2 * 3^(4-1) = 2 * 27 = 54.

Tags

CCSS.HSF.BF.A.2

Front

What is the common ratio of the sequence 10, 5, 2.5, 1.25?

Back

1/2

Tags

CCSS.HSF.BF.A.2