Geometric and Arithmetic Explicit Equations

What's the explicit equation?

• f(n) = 2 + 3(n-1)

• f(n) = n + 3

• f(n) = f(n-1) +3

• f(n) = f(n+3)

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

What is the common ratio for the sequence:
28, -14, 7, -3.5...

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Does the following table represent a geometric sequence or an arithmetic? Explain 

• geometric, it has a constant rate

• geometric, it has a constant percentage

• arithmetic, it has a constant rate

• arithmetic, it has a constant percentage

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

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)

This is an arithmetic sequence. How many dots would be in the next figure?

• 4

• 13

• 14

• 15