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 the arithmetic sequence: 5, 8, 11, 14, ...?

Back

The common difference is 3.

Front

Write the explicit formula for the arithmetic sequence: 2, 5, 8, 11, ...

Back

a_n = 3n - 1.

Front

Determine if the sequence 10, 7, 4, 1, ... is arithmetic.

Back

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

Front

What is the nth term formula for an arithmetic sequence?

Back

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: 3, 6, 9, 12, ...

Back

The 10th term is 30.

Front

Is the sequence 1, 2, 4, 8, ... arithmetic?

Back

No, it is not arithmetic.

Front

What is the common difference in the sequence: 15, 10, 5, 0, ...?

Back

The common difference is -5.

Front

Find the next term in the arithmetic sequence: 20, 25, 30, ...

Back

The next term is 35.

Front

Write the explicit equation for the arithmetic sequence: 100, 90, 80, ...

Back

a_n = -10n + 100.