Code Breaking

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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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How do you find the common difference in an arithmetic sequence?

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The common difference is found by subtracting any term from the subsequent term.

Front

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

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The common ratio is found by dividing any term by the previous term.

Front

What is the formula for the nth term of an arithmetic sequence?

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The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

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

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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.

Front

What comes next in the sequence: 7, 14, 21, 28, ___?

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35

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

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3125, 15625, 78125

Front

What is the common ratio for the sequence: 3, 15, 75, 375, ...?

Back

5