Recursive to Explicit

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

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A formula that requires the computation of all previous terms to find the value of a_n.

• Explicit Formula

• Recursive Formula

• Arithmetic Formula

• Geometric Formula

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)

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Which of the following recursive equations describe the sequence shown in the graph?

•   a_n = 5n -2

  a₁ = 2

•  a_n = 2(5)ⁿ

  a₁ = 2

•  a_{n =} a_{n-1 *} 2

  a_{1 = 2}

• a_n = a_n-1 * 5

  a₁ = 2

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

Find the first 5 terms of the sequence.

• -7, -12, -27, -72, -207

• -7, -10, -13, -16, -19

• -7, -21, -63, -189, -567

• 9, 36, 117, 360, 1089

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

Given the sequence:
a₁ = 5
a_n=a_n-1+7
Write the explicit equation that models the sequence.

• a_n = 7n + 2

• a_n = 5n + 2

• a_n = 7n - 2

• a_n = 5n + 7