Arithmetic Sequences Formulas and Graphing

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8

• a₁ =6, a_n = a_n - 1 - 2

• a₁ = 6, a_n = a_n-1 + 2

• a₁ = 6, a_n = a_n-1 - 2

Tags

CCSS.HSF.BF.A.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

Given the sequence 4, 11, 18, 25...... what is a₃ ?

• 4

• 11

• 18

• 25

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 10 terms of the arithmetic sequence 3, 8, 13, 18, ...?

• 275

• 285

• 295

• 305

What is the explicit formula the following arithmetic sequence?

• 3(2)^n-1

• 2(3)^n-1

• 3 + 3n

• 3n

Tags

CCSS.HSF.BF.A.2

Write a function to represent the sequence:
 -12, -11.75, -11.5, -11.25…?

• f(n) = 0.25n - 12

• f(n) = -0.25(n - 1) - 12

• f(n) = 0.25n - 12.25

• f(n) = 12(n -1) - 0.25

Linear Functions relate to the:

• A. Geometric Sequence

• B. Arithmetic Sequence

• C. Exponential Sequence

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Given the recursive formula below, find the first five terms.
u₁ = 3
u_n = u_n-1 + 2
where n ≥ 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13

Tags

CCSS.HSF.BF.A.2

Find the values of a in the following arithmetic sequence

5, 9, a, 17, 21

(a)  

Tags

CCSS.HSF.BF.A.2

Find the values of a in the following arithmetic sequence

1, 6, a, 16, 21

(a)  

Tags

CCSS.HSF.BF.A.2