Explicit and Recursive Formula

Find the first four terms of the sequence. a_n= a_(n-1) - 18 where a₁=10

• 18, 8, -2, -12

• 28, 46, 64, 82

• -8, -26, -44, -60

• 10, -8, -26, -44

Find the first four terms of the sequence.

f(n) = f(n-1) + 6 where f(1) = 0

• 0, 0, 0, 0

• 0, 6, 12, 18

• 0, 1, 2, 4

• 6, 36, 216, 1296

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x2

• a_n = 11(2)^n-1

• a_n+1 = a_{n *} 2;  a₁ = 11

The explicit formula is used to find a specific term in a sequence.

• True

• False

Which statement is true about this formula?

• It is an EXPLICIT formula. The first four terms are 5,7,9,11

• It is a RECURSIVE formula. The first four terms are 5,13,29,61

• It is an EXPLICIT formula. The first four terms are 13,15,17,19

• It is a RECURSIVE formula. The first four terms are 13,29,61,125

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

• Explicit; -3, -7, -11, -15

• Recursive; -3, -7, -11, -15

• Explicit; -5, -9, -13, -17

• Recursive; -5, -9, -13, -17

On a scale of 1-5, 1 meaning "I have no clue what is going on" to 5 meaning "I got it completely," how would you rate your understanding of recursive & explicit sequences

• 1

• 2

• 3

• 4

• 5

Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....

• u₁ = 15
  u_n = u_n-1 + 3

• u₀ = 15
  u_n = u_n-1 + 3

• u₁ = 15
  u_n = u_n-1 - 3 

• u₀ = 15
  u_n = u_n-1 - 3

Given the recursive formula below, find the explicit formula.  
a₀ = 1
a_n = a_n-1 + 5

• a_n = 6 + 5n

• a_n = 1 + 5n

Given the recursive formula below, find the first five terms. u_1 = 3 u_n = u_{n-1} + 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13