2.3 Algebra 1 Recap

Front

What is an explicit formula for a sequence?

Back

An explicit formula defines the nth term of a sequence directly in terms of n, allowing you to calculate any term without needing to know the previous terms.

Front

What is a recursive formula for a sequence?

Back

A recursive formula defines each term of a sequence based on the previous term(s), requiring knowledge of earlier terms to find later ones.

Front

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

Back

a_n = -4n + 29

Front

What are the next two terms of the sequence 4, 7, 10, 13?

Back

16 and 19

Front

Write the recursive formula for the sequence: 6, 4, 2, 0, ...

Back

a_1 = 6, a_n = a_{n-1} - 2

Front

Find the 32nd term of the sequence: 9, 4, -1, -6, -11, ... using the explicit formula.

Back

-146

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term of a geometric sequence can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

Back

768

Front

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

Back

The common difference is found by subtracting any term from the subsequent term in the sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term in the sequence.