What is the recursive function that represents the table?

f ( n ) = f ( n − 1 ) ∙ 3 , f ( 5 ) = 2 f(n)=f(n-1)\ ∙\ 3,\ \ \ f\left(5\right)=2 f ( n ) = f ( n − 1 ) ∙ 3 , f ( 5 ) = 2

f ( n ) = f ( n − 1 ) + 4 , f ( 1 ) = 5 f(n)=f(n-1)\ +4,\ \ \ f\left(1\right)=5 f ( n ) = f ( n − 1 ) + 4 , f ( 1 ) = 5

f ( n ) = 2 ∙ 3 ( n − 5 ) f(n)=\ 2\ \ ∙\ \ 3^{\left(n-5\right)} f ( n ) = 2 ∙ 3 ( n − 5 )

f ( n ) = 3 ∙ 2 ( n − 5 ) f(n)=\ 3\ \ ∙\ \ 2^{\left(n-5\right)} f ( n ) = 3 ∙ 2 ( n − 5 )

Shannon started a savings account by putting in $75. On the 1st week she deposited $25 and plans to continue depositing $25 each week. What is the recursive function that represents this situation?

f ( n ) = f ( n − 1 ) + 25 , f ( 0 ) = 75 f(n)=f(n-1)\ +25,\ \ \ f\left(0\right)=75 f ( n ) = f ( n − 1 ) + 2 5 , f ( 0 ) = 7 5

f ( n ) = f ( n − 1 ) + 75 , f ( 0 ) = 25 f(n)=f(n-1)\ +75,\ \ \ f\left(0\right)=25 f ( n ) = f ( n − 1 ) + 7 5 , f ( 0 ) = 2 5

f ( n ) = 75 + 25 n f(n)=\ 75\ +\ 25n f ( n ) = 7 5 + 2 5 n

f ( n ) = 25 + 75 n f(n)=\ 25\ +\ 75n f ( n ) = 2 5 + 7 5 n

Shannon started a savings account by putting in $75. On the 1st week she deposited $25 and plans to continue depositing $25 each week. What is the explicit function that represents this situation?

f ( n ) = 75 + 25 n f(n)=\ 75\ +\ 25n f ( n ) = 7 5 + 2 5 n

f ( n ) = f ( n − 1 ) + 75 , f ( 0 ) = 25 f(n)=f(n-1)\ +75,\ \ \ f\left(0\right)=25 f ( n ) = f ( n − 1 ) + 7 5 , f ( 0 ) = 2 5

f ( n ) = f ( n − 1 ) + 25 , f ( 0 ) = 75 f(n)=f(n-1)\ +25,\ \ \ f\left(0\right)=75 f ( n ) = f ( n − 1 ) + 2 5 , f ( 0 ) = 7 5

f ( n ) = 25 + 75 n f(n)=\ 25\ +\ 75n f ( n ) = 2 5 + 7 5 n

What is the recursive function that represents the sequence provided?

f ( n ) = f ( n − 1 ) ⋅ ( − 4 ) , f ( 1 ) = 5 f(n)=f(n-1)\ \cdot\ \left(-4\right),\ \ \ f\left(1\right)=5 f ( n ) = f ( n − 1 ) ⋅ ( − 4 ) , f ( 1 ) = 5

f ( n ) = f ( n − 1 ) ⋅ ( 5 ) , f ( 1 ) = − 4 f(n)=f(n-1)\ \cdot\ \left(5\right),\ \ \ f\left(1\right)=-4 f ( n ) = f ( n − 1 ) ⋅ ( 5 ) , f ( 1 ) = − 4

f ( n ) = ( − 4 ) ⋅ 5 ( n − 1 ) f(n)=\ \left(-4\right)\ \cdot5^{\left(n-1\right)} f ( n ) = ( − 4 ) ⋅ 5 ( n − 1 )

f ( n ) = 5 ⋅ ( − 4 ) ( n − 1 ) f(n)=\ 5\ \cdot\left(-4\right)^{\left(n-1\right)} f ( n ) = 5 ⋅ ( − 4 ) ( n − 1 )

What is the explicit function that represents the sequence provided?

f ( n ) = 5 ⋅ ( − 4 ) ( n − 1 ) f(n)=\ 5\ \cdot\left(-4\right)^{\left(n-1\right)} f ( n ) = 5 ⋅ ( − 4 ) ( n − 1 )

f ( n ) = f ( n − 1 ) ⋅ ( − 4 ) , f ( 1 ) = 5 f(n)=f(n-1)\ \cdot\ \left(-4\right),\ \ \ f\left(1\right)=5 f ( n ) = f ( n − 1 ) ⋅ ( − 4 ) , f ( 1 ) = 5

f ( n ) = f ( n − 1 ) ⋅ ( 5 ) , f ( 1 ) = − 4 f(n)=f(n-1)\ \cdot\ \left(5\right),\ \ \ f\left(1\right)=-4 f ( n ) = f ( n − 1 ) ⋅ ( 5 ) , f ( 1 ) = − 4

f ( n ) = ( − 4 ) ⋅ 5 ( n − 1 ) f(n)=\ \left(-4\right)\ \cdot5^{\left(n-1\right)} f ( n ) = ( − 4 ) ⋅ 5 ( n − 1 )

Which of the following functions describes the relationship above?

f ( x ) = 75 x f\left(x\right)=75x f ( x ) = 7 5 x

f ( x ) = 75 ( 2 ) x f\left(x\right)\ =\ 75\left(2\right)^x f ( x ) = 7 5 ( 2 ) x

f ( x ) = 2 ( 75 ) x f\left(x\right)\ =2\left(75\right)^x f ( x ) = 2 ( 7 5 ) x

f ( x ) = 75 x + 2 f\left(x\right)\ =\ 75x\ +2 f ( x ) = 7 5 x + 2

Integrated Math 1 Cumulative 1 Class Study Guide

Authored by Amanda Zielinski

Mathematics

7th - 9th Grade

CCSS covered

Used 55+ times

Integrated Math 1 Cumulative 1 Class Study Guide

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Arithmetic, Explicit

Geometric, Recursive

Arithmetic, Recursive

Geometric, Explicit

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Arithmetic, Recursive

Geometric, Explicit

Arithmetic, Explicit

Geometric, Recursive

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Arithmetic, Recursive

Arithmetic, Explicit

Geometric, Recursive

Geometric, Explicit

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Arithmetic, Recursive

Arithmetic, Explicit

Geometric, Recursive

Geometric, Explicit

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the type of sequence in the table. Select Arithmetic, Geometric or Neither.

Arithmetic

Geometric

Neither

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the type of sequence in the table. Select Arithmetic, Geometric or Neither.

Arithmetic

Geometric

Neither

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

See the arithmetic sequence provided. Which values correctly complete the table?

-8, -10, -12

0, -2, -4

-2, -6, -10

4, 6, 8

Tags

CCSS.HSF.BF.A.2

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the explicit function that represents the table?

$f(n)=f(n-1)\ ∙\ 3,\ \ \ f\left(5\right)=2$

$f(n)=f(n-1)\ +4,\ \ \ f\left(1\right)=5$

$f(n)=\ 2\ \ ∙\ \ 3^{\left(n-5\right)}$

$f(n)=\ 3\ \ ∙\ \ 2^{\left(n-5\right)}$

Tags

CCSS.HSF.LE.A.2

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Integrated Math 1 Cumulative 1 Class Study Guide

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Determine if the function represent a GEOMETRIC OR ARITHMETIC sequence and then decide if the formula is RECURSIVE OR EXPLICIT.

Determine the type of sequence in the table. Select Arithmetic, Geometric or Neither.

Determine the type of sequence in the table. Select Arithmetic, Geometric or Neither.

See the arithmetic sequence provided. Which values correctly complete the table?

See the geometric sequence provided. Which values correctly complete the table?

The first term in a sequence is 5. The sequence decreases by 12% each term. What is the recursive function that will represent this situation?

What is the explicit function that represents the table?

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