Unit 2 Review Math 1

Front

What is the formula for the arithmetic sequence: 6, 11, 16, 21...?

Back

The formula is a_n = 1 + 5n.

Front

Given the arithmetic sequence a_n = 14 + (n-1)9, which equation is equivalent?

Back

The equivalent equation is a_n = 9n + 5.

Front

Find the 22nd term of the sequence: 14, 22, 30, 38, ...

Back

The 22nd term, a_22, is 182.

Front

Use the explicit formula to find the 3rd term of the sequence: a_n=128⋅(1/2)^(n-1).

Back

The 3rd term is 32.

Front

Find the explicit formula for the sequence: -3, -33, -63, -93, ...

Back

The explicit formula is a_n = -3 - 30(n - 1).

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: 6, 11, 16, 21...?

Back

The common difference is 5.

Front

What is the first term of the sequence defined by a_n = 14 + (n-1)9?

Back

The first term, a_1, is 14.

Front

How do you derive the explicit formula from a sequence?

Back

Identify the first term and the common difference, then use the formula a_n = a_1 + (n-1)d.