Arithmetic Sequences Flashcard Review

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 (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

Is the sequence 17, 9, 1, -7 an arithmetic sequence?

Back

Yes, the common difference is -8.

Front

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

Back

Front

If a_14 = 68 and d = 3, what is the first term (a_1)?

Back

Front

What is the common difference in the sequence 29, 21, 13, 5?

Back

The common difference is d = -8.

Front

Is the sequence 21, 13, 5, -3 arithmetic?

Back

Yes, the common difference is -8.

Front

What is the first term of the sequence defined by a_n = 20 + 8(n-1)?

Back

The first term (a_1) is 20.

Front

How do you determine if a sequence is arithmetic?

Back

Check if the difference between consecutive terms is constant.

Front

What is the common difference of the sequence 12, 20, 28?

Back

The common difference is d = 8.