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Mathematics

9th Grade

CCSS covered

Arithmetic Recursive and Explicit Formulas
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which recursive formula can be used to define the sequence for n>1?

an=3715an−1a_n=\frac{37}{15}a_{n-1}

an=an−1+an−2−11a_n=a_{n-1}+a_{n-2}-11

an=an−1−11a_n=a_{n-1}-11

an=an−1+an−2+11a_n=a_{n-1}+a_{n-2}+11

Tags

CCSS.HSF.IF.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form. Find the value of d and use a_n=a_{n-1}+d to write your recursive formula.

an=an−1+17; a1=46a_n=a_{n-1}+17;\ a_1=46

an=an−1+29; a1=46a_n=a_{n-1}+29;\ a_1=46

an=an−1−17; a1=63a_n=a_{n-1}-17;\ a_1=63

an=1729an−1a_n=\frac{17}{29}a_{n-1}

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form.

an=an−1−15; a1=4a_n=a_{n-1}-15;\ a_1=4

an=an−1+15; a1=−11a_n=a_{n-1}+15;\ a_1=-11

an=an−1−26; a1=−11a_n=a_{n-1}-26;\ a_1=-11

an=1526an−1a_n=\frac{15}{26}a_{n-1}

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form. Find the value of d and use a_n=a_{n-1}+d to write your recursive formula.

an=an−1−7; a1=33a_n=a_{n-1}-7;\ a_1=33

an=726an−1a_n=\frac{7}{26}a_{n-1}

an=an−1+7; a1=33a_n=a_{n-1}+7;\ a_1=33

an=an−1+26; a1=40a_n=a_{n-1}+26;\ a_1=40

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form. Find the value of d and use a_n=a_{n-1}+d to write your recursive formula.

an=an−1+1; a1=47a_n=a_{n-1}+1;\ a_1=47

an=an−1−1; a1=45a_n=a_{n-1}-1;\ a_1=45

an=an−1+46; a1=47a_n=a_{n-1}+46;\ a_1=47

an=an−1a_n=a_{n-1}

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form. Find the value of d and use a_n=a_{n-1}+d to write your recursive formula.

an=an−1−42; a1=−80a_n=a_{n-1}-42;\ a_1=-80

an=an−1−19; a1=−61a_n=a_{n-1}-19;\ a_1=-61

an=an−1+19; a1=−80a_n=a_{n-1}+19;\ a_1=-80

an=−1942an−1a_n=\frac{-19}{42}a_{n-1}

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the explicit formula to find a recursive formula for the arithmetic sequence. Write your answer in simplest form. Find the value of d and use a_n=a_{n-1}+d to write your recursive formula.

an=an−1+19; a1=39a_n=a_{n-1}+19;\ a_1=39

an=an−1−10; a1=29a_n=a_{n-1}-10;\ a_1=29

an=an−1+10; a1=29a_n=a_{n-1}+10;\ a_1=29

an=1019an−1; a1=29a_n=\frac{10}{19}a_{n-1};\ a_1=29

Tags

CCSS.HSF.BF.A.2

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