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Sequences - Explicit Formulas

Authored by Rebecca Tuley

Mathematics

9th Grade

CCSS covered

Used 991+ times

Sequences - Explicit Formulas
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15 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the explicit formula for the sequence.


9, 5, 1, -3, ...

an=9+5(n1)a_n=9+5\left(n-1\right)

an=94(n1)a_n=9-4\left(n-1\right)

an=4+9(n1)a_n=4+9\left(n-1\right)

an=94(n1)a_n=9\cdot4^{\left(n-1\right)}

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the explicit formula for the sequence.


216, 72, 24, 8, ...

an=216(13)(n1)a_n=216\cdot\left(\frac{1}{3}\right)^{\left(n-1\right)}

an=83(n1)a_n=8\cdot3^{\left(n-1\right)}

an=216144(n1)a_n=216-144\left(n-1\right)

an=2163(n1)a_n=216\cdot3^{\left(n-1\right)}

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the explicit formula for the sequence.


15, 22, 29, 36, 43, ...

an=15+22(n1)a_n=15+22\left(n-1\right)

an=157(n1)a_n=15\cdot7^{\left(n-1\right)}

an=15+7(n1)a_n=15+7\left(n-1\right)

an=2914(n1)a_n=29-14^{\left(n-1\right)}

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the explicit formula for the sequence.


7, 28, 112, 448, ...

an=7+4(n1)a_n=7+4\left(n-1\right)

an=74(n1)a_n=7\cdot4^{\left(n-1\right)}

an=4484na_n=\frac{448}{4n}

an=28+84(n1)a_n=28+84\left(n-1\right)

Tags

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the explicit formula for the sequence.


10, -2, -14, -26, ...

an=10(15)(n1)a_n=10\cdot\left(-\frac{1}{5}\right)^{\left(n-1\right)}

an=27(n1)a_n=-2\cdot7^{\left(n-1\right)}

an=108(n1)a_n=10-8\left(n-1\right)

an=1012(n1)a_n=10-12\left(n-1\right)

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.


6, 30, 150, 750, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the following sequence is arithmetic or geometric.


2, 5, 8, 11, 14, ...

Arithmetic

Geometric

Tags

CCSS.HSF.BF.A.2

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