Find Nth Term Given Explicit Formula

A sequence is shown below.

32, 26, 20, 14, ...

Which explicit formula can be used to determine the nth term of the sequence?

• a_n = -6n + 38

• a_n = 6n + 32

• a_n = 6n + 38

• a_n = -6n + 32

The sequence below shows the number of raffle tickets that Samantha sold each day during a month:

3, 7, 11, 15, ...

Which explicit formula models the number of tickets Samantha sold on day x?

• t(x) = 4x - 1

• t(x) = x + 4

• t(x) = 4x + 3

• t(x) = 3x + 4

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...

Solving for the nth term of geometric sequence, given that a₁ = 1 and r= 2, what is the value of the 4th term?

• 2

• 8

• 4

• 16

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Find the 9th term in the following geometric sequence:

• 384

• 512

• 768

• 1,024

What is the 11th term of the geometric sequence?

• -5120

• 97,656,250

• 19,531,250

• -19,531,250

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

• a_n = 4n + 29

• a_n = - 4n + 25

• a_n = - 4n + 29

• a_n = 4n + 25