Formulas of a Sequence

Find the first four terms of the sequence.

a_n= 2a_(n-1) + n where a₁= 0

• 0, 0, 0, 0

• 0, 1, 4, 12

• 0, 1, 2, 4

• 0, 2, 4, 8

Find the first four terms of the sequence.

a_n= 6n - 1

• 6, 12, 18, 24

• 5, 11, 17, 23

• 0, 6, 12, 18

• 6, 7, 8, 9

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

Create the explicit formula for the sequence:

2, 8, 14, ...

(Hint: Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=-4+6n

• a_n=4-6n

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

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

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

• a_n = 29+4n

• a_n = 25-4n

• a_n = 29-4n

• a_n = 25+4n

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

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator

• Common opposites

• Common domain

• Common difference

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?