Unit 2 : Sequences

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is a common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by.

Front

Identify the common difference in the sequence: 97, 86, 75, 64, ...

Back

-11

Front

Write an explicit formula for the sequence: 5, 8, 11, 14, 17...

Back

a_n = 5 + 3(n - 1)

Front

Write an explicit formula for the sequence: 2, 8, 14, 20, ...

Back

a_n = 2 + 6(n - 1)

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula 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 a sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.

Front

Ms. Brekrus runs 10 miles in the first week and increases her distance by 3 miles each week. How many miles will she run in the 13th week?

Back

46 miles.

Front

List the next 3 weeks of running distances for Ms. Brekrus if she runs 10, 13, 16 miles in the first three weeks.

Back

19, 22, 25 miles.