Arithmetic vs Geometric Sequences

Which formula is used to find the recursive equation for arithmetic sequences?

• a_n = a_(n-1) + d
• a_n = a₁ + d(n-1)

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

• a_n = a₁ + d(n-1)
• a_n = a_n-1 + d

• 32

• 2

• 4

• 64

Which of the following is the recursive formula for geometric sequences?

• g_n=g_n-1 (r)

• g_n=g₁ (r^n-1)

Which of the following is the explicit formula for geometric sequences?

• g_n=g_n-1 (r)

• g_n=g₁ (r^n-1)

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

Identify the common difference.

-6, -3, 0, 3, 6....

• 4

• 3

• -4

• -3

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)

Which of the following equations is explicit?

• f(n) = 4n + 5
• f(n) = f(n-1) x 5

Which of the following equations is recursive?

• f(n) = f(n-1) +4
• f(n) = 2n - 5