Arithmetic Sequences

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?

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

Front

How do you find the nth term of an arithmetic sequence?

Back

Front

Given the sequence 2, 5, 8, 11, what is the common difference?

Back

The common difference is 3.

Front

What is the explicit formula for the arithmetic sequence 4, 7, 10, 13?

Back

Front

Find the next three terms in the arithmetic sequence: 10, 15, 20, ...

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The next three terms are 25, 30, 35.

Front

Identify the common difference in the sequence: -10, -7, -4, -1, ...

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The common difference is 3.

Front

Back

The first term is 5.

Front

If the first term of an arithmetic sequence is 12 and the common difference is 4, what is the 5th term?

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The 5th term is 12 + 4(5-1) = 12 + 16 = 28.

Front

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

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