Recursive vs Explicit

Given the recursive formula, find the explicit form
a_n = a_n-1 - 5
a₁ = 22

• a_n = 22 + (n-1)(-5)

• a_n = 22 + (n-1)(5)

• a_n = -5 + (n-1)(22)

• a_n = -16 + (n-1)(-5)

Given the recursive formula, find the explicit form
a_n = a_n-1 + 5
a₁ = -16

• a_n = 5 + (n-1)(-16)

• a_n = -11 + (n-1)(5)

• a_n = 16 + (n-1)(5)

• a_n = -16 + (n-1)(5)

Write the recursive formula for
a_n = 17 + (n-1)(11)

• a₁ = 17
  a_n=a_n-1+11

• a₁ = 17
  a_n=a_n-1-11

• a_n=a
  a₁ = 17_n-1+11

• a₁ = 6
  a_n=a_n-1+11

Given the sequence:
a₁ = 25
a_n=a_n-1-4
Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

• (1)

• (2)

• (3)

• (4)

*Match each recursive function with the equivalent explicit function.

• f(n)=3n+4

• f(n)=-3n+10

• f(n)=-2n+12

Given the sequence:
a₁ = 8
a_n=a_n-1-14
Write the explicit equation that models the sequence.

• a_n = -14n + 8

• a_n = 14n + 22

• a_n = -14n + 22

• a_n = 14n + 8

Given the sequence:
a₁ = -19
a_n=a_n-1+ 9
Write the explicit equation that models the sequence.

• a_n = 9n + 28

• a_n = -19n + 25

• a_n = 9n - 28

• a_n = 9n - 19

Given the sequence:
a₁ = 17
a_n=a_n-1- 5
Write the explicit equation that models the sequence.

• a_n = 5n + 12

• a_n = -5n + 17

• a_n = -5n + 22

• a_n = 5n + 22