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

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term in the sequence.

Front

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

Back

The second term is 8.

Front

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

Back

The nth term 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

Given the arithmetic sequence 10, 15, 20, ..., what is the common difference?

Back

The common difference is 5.

Front

Is the sequence 2, 4, 6, 8 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 2.

Front

What is the 5th term of the arithmetic sequence 3, 7, 11, ...?

Back

The 5th term is 15.

Front

If the common difference of an arithmetic sequence is negative, what does that indicate about the sequence?

Back

It indicates that the terms of the sequence are decreasing.

Front

What is the 3rd term in the arithmetic sequence where the first term is 12 and the common difference is -4?

Back

The 3rd term is 4.

Front

True or False: The sequence 1, 3, 5, 7 is an arithmetic sequence.

Back

True.