Arithmetic Sequences 2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
  a₁=17
• a_n = a_n-1 - 17
  a₁=17
• a_n = a_n-1 - 15
  a₁=17
• a_n = a_n-1 - 16
  a₁=17

Tags

CCSS.HSF.IF.A.3

Write the recursive formula for 4, 8, 12....

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• a_n = -3 - 30(n -1)
• a_n = -3 + 30(n -1)
• a_n = -30 - 3(n -1)
• a_n = -30 + 3(n -1)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The recursive formula is used to find the next value in a sequence of numbers.

• True
• False

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

The explicit formula is used to find a specific term in a sequence.

• True
• False

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

Which equation can be used to find the sequence if a₃=4, a₄=11, and a₅=18

• a_n = 7n - 17

• a_n = 17n - 7

• a_n = 7n + 4

• a_n = 4n + 7