Arithmetic and Geometric Sequences Recursive and Explicit Formulas

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

• A(n) = 3 + 4(n - 1)

• A(n) = 4 + 3(n - 1)

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)

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

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

• A(n) = 7 + -2(n - 1)

• A(n) = 7 + 2(n - 1)

The difference between consecutive terms of an arithmetic

sequence

• Geometric Sequence

• Common Ratio

• Arithmetic Sequence

• Common Difference

A number sequence formed by multiplying a term in a

sequence by a fixed number to find the next term

• Geometric Sequence

• Sequence

• Arithmetic Sequence

• Term of a Sequence

expresses the nth term of a sequence in terms of n

• Geometric Sequence

• Explicit formula

• Arithmetic Sequence

• Recursive Formula

Given the recursive formula below, find the explicit formula.
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n

• a_n = 1 + 5n

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25