Lesson 7: What Comes Next? What Comes Later?

A. Identify if the function is arithmetic, geometric or neither. 

• Arithmetic

• Geometric

• Neither

B. Describe how to find the "nth" term in the sequence.

• Start with 12 and add 5 n times

• Start with 3 and add 12 n times

• Start with 3 and multiply by 12 to the power n

• Start with 12 and multiply by 3 to the power n

1. C. Write an equation for the function. 

A. Identify if the function is arithmetic, geometric or neither. 

• Arithmetic

• Geometric

• Neither

B. Describe how to find the "nth" term in the sequence.

• Start with 2 and add 5 n times

• Start with 5 and add 2 n times

• Start with 5 and multiply by 2 to the power n

• Start with 2 and multiply by 5 to the power n

1. C. Write an equation for the function. 

A. Identify if the function is arithmetic, geometric or neither. 

• Arithmetic

• Geometric

• Neither

B. Describe how to find the "nth" term in the sequence.

• Start with -8 and subtract 9 n times

• Start with 1 and subtract 9 n times

• Start with -8 and multiply by -9 to the power n

• Start with 1 and multiply by -9 to the power n

Answer explanation

The initial value is found when the input is 0. If we look at the table we will notice a blank space next to 0.

To find the initial value we need to know the common difference. The pattern decreases/subtracts by 9. If we go backwards from 8 and ADD 9 we get 1.

Therefore, the initial value is 1.

1. C. Write an equation for the function. 

Answer explanation

When writing the equation we need the initial value. The initial value is found when the input is 0. If we look at the table we will notice a blank space next to 0.

To find the initial value we need to know the common difference. The pattern decreases/subtracts by 9. If we go backwards from 8 and ADD 9 we get 1.

Therefore, the initial value is 1 and the common difference is -9.

A. Identify if the function is arithmetic, geometric or neither. 

• Arithmetic

• Geometric

• Neither