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

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 78, 785, 7855, 78555 an arithmetic sequence?

Back

No, the sequence is not arithmetic because the differences between consecutive terms are not constant.

Front

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

Back

Yes, the sequence is arithmetic with a common difference of -8.

Front

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

Back

The common difference is d = -8.

Front

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

Back

The explicit formula is a(n) = a(1) + (n - 1)d, where a(1) is the first term and d is the common difference.

Front

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

Back

The 10th term is a(10) = 5 + (10 - 1) * 3 = 32.

Front

What is the common difference of the sequence -34, -29, -24, -19?

Back

The common difference is d = 5.

Front

Select the explicit rule that represents the sequence: 14, 11, 8, 5.

Back

The explicit rule is a(n) = 14 + (n - 1)(-3).

Front

What is the 5th term of the arithmetic sequence with first term 2 and common difference 4?

Back

The 5th term is a(5) = 2 + (5 - 1) * 4 = 18.