Recursive and Explicit Rule

Authored by Matthew McLendon

Mathematics

6th - 8th Grade

CCSS covered

Used 3+ times

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14 questions

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FILL IN THE BLANK QUESTION

1 min • 1 pt

1. Given the recursive formula below, find the explicit formula.
a₁= 3, a_n = a_n-1 + 7
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

Tags

CCSS.HSF.BF.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

2. Given the recursive formula below, determine the explicit formula.
a₁= 5, a_n = a_n-1 + 6
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

Tags

CCSS.HSF.BF.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

3. Given the recursive formula below, find the explicit formula.
a₁= 20, a_n = a_n-1 - 9
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

Tags

CCSS.HSF.BF.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

4. Find the explicit formula.
a₃= 12, a_n = 0.5 x a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

Mathematical Equivalence

Tags

CCSS.HSF.BF.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

5. Find the explicit formula.
a₄= -32, a_n = 2a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

Mathematical Equivalence

Tags

CCSS.HSF.BF.A.2

MATH RESPONSE QUESTION

2 mins • 1 pt

6. Find the explicit formula.
a₂= 15, a_n = 3a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

Mathematical Equivalence

Tags

CCSS.HSF.BF.A.2

FILL IN THE BLANK QUESTION

1 min • 1 pt

7. Find the explicit formula.
a₄= 50, a_n = a_n-1 - 12
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

Tags

CCSS.HSF.BF.A.2

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Recursive and Explicit Rule

1. Given the recursive formula below, find the explicit formula.
a₁= 3, a_n = a_n-1 + 7
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

2. Given the recursive formula below, determine the explicit formula.
a₁= 5, a_n = a_n-1 + 6
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

3. Given the recursive formula below, find the explicit formula.
a₁= 20, a_n = a_n-1 - 9
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

4. Find the explicit formula.
a₃= 12, a_n = 0.5 x a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

5. Find the explicit formula.
a₄= -32, a_n = 2a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

6. Find the explicit formula.
a₂= 15, a_n = 3a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

7. Find the explicit formula.
a₄= 50, a_n = a_n-1 - 12
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

8. Find the explicit formula.
a₅= 60, a_n = a_n-1 - 15
Explicit: a_n=_____
(write your expression in simplest form, no spaces, no fractions)

9. Find the explicit formula.
a₃= 38, a_n = a_n-1 + 7
Explicit: a_n=_____
(write your expression in simplest form, no spaces, no fractions)

10. Find the explicit formula.
a₁= 60, a_n = (.25)a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

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Recursive and Explicit Rule

1. Given the recursive formula below, find the explicit formula. a1 = 3, an = an-1 + 7Explicit: an = _______(write your expression in simplest form, no spaces)

2. Given the recursive formula below, determine the explicit formula. a1 = 5, an = an-1 + 6Explicit: an = _______(write your expression in simplest form, no spaces)

3. Given the recursive formula below, find the explicit formula. a1 = 20, an = an-1 - 9Explicit: an=_____ (write your expression in simplest form, no spaces)

4. Find the explicit formula. a3 = 12, an = 0.5 x an-1Explicit: an=a1(r)n-1 (write your expression in simplest form, no spaces, no fractions)

5. Find the explicit formula. a4 = -32, an = 2an-1Explicit: an=a1(r)n-1(write your expression in simplest form, no spaces, no fractions)

6. Find the explicit formula. a2 = 15, an = 3an-1Explicit: an=a1(r)n-1(write your expression in simplest form, no spaces, no fractions)

7. Find the explicit formula. a4 = 50, an = an-1 - 12Explicit: an=_____ (write your expression in simplest form, no spaces)

8. Find the explicit formula. a5 = 60, an = an-1 - 15Explicit: an=_____ (write your expression in simplest form, no spaces, no fractions)

9. Find the explicit formula. a3 = 38, an = an-1 + 7Explicit: an=_____ (write your expression in simplest form, no spaces, no fractions)

10. Find the explicit formula. a1 = 60, an = (.25)an-1Explicit: an=a1(r)n-1(write your expression in simplest form, no spaces, no fractions)

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1. Given the recursive formula below, find the explicit formula.
a₁= 3, a_n = a_n-1 + 7
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

2. Given the recursive formula below, determine the explicit formula.
a₁= 5, a_n = a_n-1 + 6
Explicit: a_n = _______
(write your expression in simplest form, no spaces)

3. Given the recursive formula below, find the explicit formula.
a₁= 20, a_n = a_n-1 - 9
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

4. Find the explicit formula.
a₃= 12, a_n = 0.5 x a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

5. Find the explicit formula.
a₄= -32, a_n = 2a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

6. Find the explicit formula.
a₂= 15, a_n = 3a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)

7. Find the explicit formula.
a₄= 50, a_n = a_n-1 - 12
Explicit: a_n=_____
(write your expression in simplest form, no spaces)

8. Find the explicit formula.
a₅= 60, a_n = a_n-1 - 15
Explicit: a_n=_____
(write your expression in simplest form, no spaces, no fractions)

9. Find the explicit formula.
a₃= 38, a_n = a_n-1 + 7
Explicit: a_n=_____
(write your expression in simplest form, no spaces, no fractions)

10. Find the explicit formula.
a₁= 60, a_n = (.25)a_n-1
Explicit: a_n=a₁(r)^n-1
(write your expression in simplest form, no spaces, no fractions)