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 next term in an arithmetic sequence?

Back

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

Front

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

Back

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

Front

What is the common difference in the sequence 5, 10, 15, 20?

Back

The common difference is 5.

Front

What is the common ratio in the sequence 3, 9, 27, 81?

Back

The common ratio is 3.

Front

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

Back

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?

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.

Front

What is a term in a sequence?

Back

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