arithmetic sequence

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 the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by.

Front

Identify the common difference in the sequence: 10, 15, 20, 25,...

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5

Front

Which of the following sequences is an arithmetic sequence? 1, 2, 4, 8 or 3, 6, 9, 12?

Back

3, 6, 9, 12 is an arithmetic sequence.

Front

How do you find 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

Find the 10th term of the arithmetic sequence: 4, 7, 10, 13,...

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The 10th term is 34.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

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The sum S_n = n/2 * (a_1 + a_n), where a_1 is the first term and a_n is the nth term.

Front

Calculate the sum of the first 5 terms of the arithmetic sequence: 2, 5, 8, 11,...

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The sum is 40.

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What is the 46th term of the arithmetic sequence: 3, 8, 13, 18, 23,...?

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The 46th term is 228.

Front

Determine the common difference of the sequence: 12, 18, 24, 30,...

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The common difference is 6.