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. This difference is called the common difference.

Front

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

Back

The formula for the nth term (a_n) of an arithmetic sequence is given by: a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

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The 75th term is 279.

Front

Identify the next two terms of the sequence: 4, 7, 10, 13,...

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The next two terms are 16 and 19.

Front

What is the common difference in the sequence 3, 7, 11, 15,...?

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The common difference is 4.

Front

If a_14 = 68 and d = 3, what is the first term of the sequence?

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The first term is 29.

Front

What is the explicit formula for the sequence 3, 7, 11, 15,...?

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The explicit formula is t(x) = 4x - 1.

Front

What is the common difference in the sequence 12, 20, 28,...?

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The common difference is 8.

Front

What is a formula for the nth term in the sequence 12, 20, 28,...?

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The formula is a_n = 20 + 8(n - 1).

Front

How do you find the 10th term of an arithmetic sequence?

Back

Use the formula a_n = a_1 + (n - 1)d, substituting n = 10.