Which of the following is the correct general term for the sequence... 8, 3, -2, -7, . . .

t n = 8 + ( n − 1 ) ( − 5 ) t_n=8+\left(n-1\right)\left(-5\right) t n = 8 + ( n − 1 ) ( − 5 )

t n = 8 + ( − 5 n ) t_n=8+\left(-5n\right) t n = 8 + ( − 5 n )

t n = 8 + 5 ( n − 1 ) t_n=8+5\left(n-1\right) t n = 8 + 5 ( n − 1 )

t n = 8 ( − 5 ) n − 1 t_n=8\left(-5\right)^{n-1} t n = 8 ( − 5 ) n − 1

Which of the following is true about all arithmetic sequences...

There is a common difference between consecutive terms.

There is a common ratio between consecutive terms.

They can only be written using a recursive definition.

State the first 5 terms of the geometric sequence with a = 24 a\ =\ 24 a = 2 4 and r = 1 3 r\ =\ \frac{1}{3} r = 3 1

24 , 6 , 3 2 , 3 8 24,\ 6,\ \frac{3}{2},\ \frac{3}{8} 2 4 , 6 , 2 3 , 8 3

24 , 6 , 2 , 1 24,\ 6,\ 2,\ 1 2 4 , 6 , 2 , 1

24 , 95 4 , 47 2 , 93 4 24,\ \frac{95}{4},\frac{47}{2},\frac{93}{4} 2 4 , 4 9 5 , 2 4 7 , 4 9 3

24 , 72 , 216 , 648 24,72,\ 216,\ 648 2 4 , 7 2 , 2 1 6 , 6 4 8

Sequences and Series

Authored by Sean Patchett

Mathematics

10th - 12th Grade

CCSS covered

Used 31+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the next 3 terms in the sequence 4, 8, 12, _, _, ___

14, 16, 18

16, 20, 24

16, 18, 20

24, 48, 96

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the a and d value for the arithmetic sequence...
109, 97, 85, . . .

a = 12 , d = 12

a = 109 , d = 12

a = 109 , d = -12

a = -12, d = 109

Tags

CCSS.HSF.BF.A.2

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Which of the following are Arithmetic Sequences?

(check all the appropriate answers then submit)

5, 12, 19, 26, . . .

8, 24, 72, 216, . . .

$\frac{3}{4},\ \frac{7}{8},\ 1,\ \frac{9}{8},\ \ \ .\ .\ .\$

1, 1, 2, 3, 5, 8, . . .

5, -1, -7, . . .

Tags

CCSS.HSF.BF.A.2

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Find the 12th term in the
arithmetic sequence
9, 16, 23, . . .

Tags

CCSS.HSF.BF.A.2

FILL IN THE BLANK QUESTION

3 mins • 1 pt

Determine the number of terms in the sequence 1, 3, 5, . . . , 123

(enter the number of terms only)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

For the geometric sequence
3, 12, 48, 192, . . .

What is $t_{10}$ ?

786 432

3145728

262147

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Determine the a and r value for a geometric sequence where: $t_3=45$ and $\ t_7=3645$

a = 45 , r = 7

a = 5 , r = 3

a = 5 , r = 81

a = 3645, r = 45

Tags

CCSS.HSF.BF.A.2

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Sequences and Series

What are the next 3 terms in the sequence 4, 8, 12, _, _, ___

Find the a and d value for the arithmetic sequence...
109, 97, 85, . . .

Which of the following are Arithmetic Sequences?

(check all the appropriate answers then submit)

Find the 12th term in the
arithmetic sequence
9, 16, 23, . . .

Determine the number of terms in the sequence 1, 3, 5, . . . , 123

(enter the number of terms only)

For the geometric sequence
3, 12, 48, 192, . . .

What is $t_{10}$ ?

Determine the a and r value for a geometric sequence where: $t_3=45$ and $\ t_7=3645$

How many terms are in the geometric sequence
2, 6, 18, . . . , 1458

Classify this sequence as ARITHMETIC, GEOMETRIC or NEITHER.
-2, 6, -18, 54, . . .

Determine the sum of the first 10 terms in the arithmetic series:
5 + 8 + 11 + . . .

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Sequences and Series

What are the next 3 terms in the sequence 4, 8, 12, ___, ___, ___

Find the a and d value for the arithmetic sequence...109, 97, 85, . . .

Which of the following are Arithmetic Sequences?(check all the appropriate answers then submit)

Find the 12th term in the arithmetic sequence 9, 16, 23, . . .

Determine the number of terms in the sequence 1, 3, 5, . . . , 123(enter the number of terms only)

For the geometric sequence3, 12, 48, 192, . . .What is t10t_{10}t10​ ?

Determine the a and r value for a geometric sequence where: t3=45t_3=45t3​=45 and t7=3645\ t_7=3645 t7​=3645

How many terms are in the geometric sequence2, 6, 18, . . . , 1458

Classify this sequence as ARITHMETIC, GEOMETRIC or NEITHER.-2, 6, -18, 54, . . .

Determine the sum of the first 10 terms in the arithmetic series:5 + 8 + 11 + . . .

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What are the next 3 terms in the sequence 4, 8, 12, _, _, ___

Find the a and d value for the arithmetic sequence...
109, 97, 85, . . .

Which of the following are Arithmetic Sequences?

(check all the appropriate answers then submit)

Find the 12th term in the
arithmetic sequence
9, 16, 23, . . .

Determine the number of terms in the sequence 1, 3, 5, . . . , 123

(enter the number of terms only)

For the geometric sequence
3, 12, 48, 192, . . .

What is $t_{10}$ ?

Determine the a and r value for a geometric sequence where: $t_3=45$ and $\ t_7=3645$

How many terms are in the geometric sequence
2, 6, 18, . . . , 1458

Classify this sequence as ARITHMETIC, GEOMETRIC or NEITHER.
-2, 6, -18, 54, . . .

Determine the sum of the first 10 terms in the arithmetic series:
5 + 8 + 11 + . . .