Arithmetic Sequence & Recursive Formula

Front

What does a1 represent?

Back

First term

Front

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence: a1 = 100; an = an-1 - 8.

Back

Recursive; 100, 92, 84, 76

Front

Write the recursive formula for the sequence: 6, 17, 28, 39, 50....

Back

an = an-1 + 11; a1 = 6

Front

Find the 22nd term of the following sequence: 5, 8, 11, ...

Back

68

Front

Create the explicit formula for the sequence: 2, 8, 14, ...

Back

an = 6n - 4

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term.

Front

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

Back

Use the formula an = a1 + (n-1)d, where d is the common difference.

Front

What is the explicit formula for the arithmetic sequence: 10, 15, 20, ...?

Back

an = 10 + 5(n-1) or an = 5n + 5.

Front

If a1 = 3 and d = 4, what is a5?

Back

a5 = 3 + 4(5-1) = 3 + 16 = 19.

Front

What is the difference between recursive and explicit formulas?

Back

Recursive formulas define each term based on the previous term, while explicit formulas define the nth term directly.