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 the sequence 12, 17, 22, 27?

Back

The common difference is 5.

Front

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

Back

The next two terms are 16 and 19.

Front

What is the formula for 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

Calculate the 22nd term of the sequence 5, 8, 11, ...

Back

The 22nd term is 68.

Front

Write the explicit equation for the sequence 33, 37, 41, 45.

Back

The explicit equation is a_n = 4n + 29.

Front

What is the common difference in the sequence 2, 8, 14?

Back

The common difference is 6.

Front

Create the explicit formula for the sequence 2, 8, 14.

Back

The explicit formula is a_n = 6n - 4.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

What is the 10th term of the sequence 7, 10, 13, ...?

Back

The 10th term is 34.