Arithmetic and Geometric Sequences with Explicit Formulas

Is this an arithmetic or geometric sequence?

3, 7, 11, 15, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Is this an arithmetic or geometric sequence?

1, 3, 9, 27, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Is this an arithmetic sequence? If so, what is the common difference?

3, 9, 15, 21, ...

• yes, d = -6

• yes, r = 6

• yes, d = 6

• no

Tags

CCSS.HSF.BF.A.2

Is this an arithmetic sequence? If so, what is the common difference?

1, 3, 6, 10, ...

• yes, d = 2

• yes, r = 3

• yes, d = 4

• no

Tags

CCSS.HSF.BF.A.2

Is this a geometric sequence? If so, what is the common ratio?

160, -80, 40, -20, ...

• yes, r = -0.5

• yes, r = 0.5

• yes, r = 2

• no

Tags

CCSS.HSF.BF.A.2

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

9, 16, 23, 30, ...

• A(n) = 9 + 7(n - 1)

• A(n) = 7 + 9(n - 1)

• $A\left(n\right)=9\cdot7^{\left(n-1\right)}$

• $A\left(n\right)=7\cdot9^{\left(n-1\right)}$

Tags

CCSS.HSF.BF.A.2

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

3, 12, 48, 192, ...

• A(n) = 3 + 4(n - 1)

• A(n) = 4 + 3(n - 1)

•  $A\left(n\right)=3\cdot4^{\left(n-1\right)}$ 

•  $A\left(n\right)=4\cdot3^{\left(n-1\right)}$ 

Tags

CCSS.HSF.BF.A.2

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

5, 1, -3, -7, ...

• A(n) = 5 + 4(n - 1)

• A(n) = 5 + -4(n - 1)

•  $A\left(n\right)=5\cdot4^{\left(n-1\right)}$ 

•  $A\left(n\right)=5\cdot-4^{\left(n-1\right)}$ 

Tags

CCSS.HSF.BF.A.2

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

7, -14, 28, -56 ...

• A(n) = 7 + -2(n - 1)

• A(n) = 7 + 2(n - 1)

•  $A\left(n\right)=7\cdot2^{\left(n-1\right)}$ 

•  $A\left(n\right)=7\cdot-2^{\left(n-1\right)}$ 

Tags

CCSS.HSF.BF.A.2

What is the explicit formula for the nth term?

f(1) = 9, d = -2.5

• A(n) = -2.5 + 9(n - 1)

• A(n) = 9 + -2.5(n - 1)

•  $A\left(n\right)=-2.5\cdot9^{\left(n-1\right)}$ 

•  $A\left(n\right)=9\cdot-2.5^{\left(n-1\right)}$ 

Tags

CCSS.HSF.BF.A.2