Friday 1/3 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

Identify an example of an arithmetic sequence.

Back

1, 3, 5, 7, 9, ... is an example of an arithmetic sequence.

Front

What is the explicit formula for 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

What does a_1 represent in a sequence?

Back

a_1 represents the first term of the sequence.

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.

Front

If a_n = 5 - 3n, what is a_22?

Back

a_22 = -61.

Front

What is the common difference in the sequence 2, 5, 8, 11, 14?

Back

The common difference is 3.

Front

Write the explicit equation for the sequence 2, 5, 8, 11, 14.

Back

f(n) = 2 + 3(n-1).

Front

How do you determine the next term in an arithmetic sequence?

Back

Add the common difference to the last term.

Front

What is the 5th term in the sequence 1, 3, 5, 7, 9?

Back

The 5th term is 9.