Lesson 4-7 Review Arithmetic Sequences. Recursive/Explicit

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 nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 34, 37, 40, 43?

Back

The common difference is 3, as each term increases by 3.

Front

Write the recursive rule for the arithmetic sequence 82, 76, 70, 64.

Back

a_1 = 82; a_n = a_(n-1) - 6.

Front

What is the explicit formula for the sequence 25, 21, 17, 13?

Back

a_n = -4n + 29.

Front

Identify the type of rule: a_n = -4n - 1.

Back

This is an explicit rule.

Front

Find the first 4 terms of the sequence defined by a_n = -4n - 1.

Back

-5, -9, -13, -17.

Front

What is the explicit rule for the arithmetic sequence -10, -3, 4, 11?

Back

a_n = 7n - 17.

Front

How do you determine if a sequence is recursive or explicit?

Back

A recursive rule defines each term based on previous terms, while an explicit rule defines the nth term directly.

Front

What is the 32nd term of the sequence 34, 37, 40, 43?

Back

127.