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. This difference is called the common difference.

Front

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

Back

Front

Identify the common difference in the sequence: 3, 7, 11, 15,...

Back

The common difference is 4, as each term increases by 4.

Front

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 of the sequence.

Front

Given the sequence: 10, 6, 2, -2,... what is the common difference?

Back

The common difference is -4, as each term decreases by 4.

Front

What is the explicit formula for the arithmetic sequence: 5, 10, 15, 20,...?

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Front

If the first term of an arithmetic sequence is 12 and the common difference is -3, what is the 5th term?

Back

Front

Determine if the sequence 8, 5, 2, -1,... is arithmetic.

Back

Yes, it is arithmetic with a common difference of -3.

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Front

How can you tell if a sequence is not arithmetic?

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A sequence is not arithmetic if the differences between consecutive terms are not constant.