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?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Identify the common difference in the sequence: 5, 10, 15, 20, ...

Back

The common difference is 5.

Front

Is the sequence 3, 7, 11, 15, ... arithmetic?

Back

Yes, it is arithmetic because the common difference is 4.

Front

Find the 10th term in the arithmetic sequence: 2, 5, 8, 11, ...

Back

The 10th term is 32.

Front

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

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Find the 5th term in the arithmetic sequence: 7, 14, 21, ...

Back

The 5th term is 35.

Front

Determine if the sequence 12, 9, 6, 3, ... is arithmetic.

Back

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

Front

What is the common difference in the sequence: 100, 90, 80, ...?

Back

The common difference is -10.

Front

Find the 15th term in the arithmetic sequence: 1, 4, 7, ...

Back

The 15th term is 43.