Sequences

Front

What is a sequence?

Back

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

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What is an arithmetic sequence?

Back

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

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What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in the sequence.

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What is a geometric sequence?

Back

A geometric sequence is a sequence in which each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in a geometric sequence?

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The common ratio is the factor by which we multiply each term to get the next term in the sequence.

Front

How do you find 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.

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How do you find 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 is the formula for the sequence: 5, 8, 11, 14, 17...?

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a_n = 5 + 3(n - 1) (Arithmetic sequence with a common difference of 3).

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What type of sequence is: 37, 31, 25, 19...?

Back

Arithmetic sequence (with a common difference of -6).

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What type of sequence is: 2, 4, 12, 48...?

Back

Neither (not arithmetic or geometric).