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.

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

Back

An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio between consecutive terms.

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What is the common difference in an arithmetic sequence?

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The common difference is the amount added (or subtracted) to each term to get the next term.

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

Back

The nth term can be calculated 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 common ratio in a geometric sequence?

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The common ratio is the factor by which each term is multiplied to get the next term.

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

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

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How do you find the next term in an arithmetic sequence?

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To find the next term, add the common difference to the last term.

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How do you find the next term in a geometric sequence?

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To find the next term, multiply the last term by the common ratio.

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What is a term in a sequence?

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A term is an individual element or number in a sequence.

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What is a finite sequence?

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A finite sequence has a limited number of terms.