10.2 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 added to each term to get the next term in the sequence.

Front

Identify the first term (a1) in the sequence: -6, -14, -22, -30.

Back

-6

Front

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

Back

a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

Find the 9th term of the sequence: 6, 11, 16, 21.

Back

46

Front

Which of the following is an arithmetic sequence? 4, 8, 16, 32, 64; 1, 2, 4, 7, 11; 15, 13, 11, 9, 7; 3, 6, 12, 24, 48.

Back

15, 13, 11, 9, 7.

Front

Which sequence is NOT an arithmetic sequence? -7, -13, -19, -25; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375.

Back

3, 15, 75, 375.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

14.

Front

What is the common difference of the sequence: 10, 7, 4, 1?

Back

-3.

Front

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

Back

Subtract the first term from the second term.