Arithmetic Sequences and Formulas

Write the explicit formula for the sequence.

Is this an arithmetic or geometric sequence?

3, 7, 11, 15, ...

• Arithmetic

• Geometric

• Neither

What is the explicit formula for the nth term of the given sequence?

• A(n) = 9 + 7(n - 1)

• A(n) = 7 + 9(n - 1)

A number sequence formed by adding a fixed number to

each previous term to find the next term. The fixed number is called the common difference

• Geometric Sequence

• Sequence

• Arithmetic Sequence

• Term of a Sequence

Is this an arithmetic sequence? If so, what is the common difference?

• yes, d = -6

• yes, r = 6

• yes, d = 6

• no

What is the explicit formula for the nth term of the given sequence?

• A(n) = 5 + 4(n - 1)

• A(n) = 5 + -4(n - 1)

What is the explicit formula for the nth term?

• A(n) = -2.5 + 9(n - 1)

• A(n) = 9 + -2.5(n - 1)

What is the explicit formula for the nth term?

• A(n) = 5 + 7(n - 1)

• A(n) = 7 + 5(n - 1)

Identify the common difference for the given arithmetic sequence.

3, 10, 17, 24, 31, ...

• d = -7

• d = -8

• d = 7

• d = 3

Identify the common difference of the given arithmetic sequence.

5, 1, -3, -7, ...

• d = -4

• d = -5

• d = 5

• d = 7