Quiz about Sequences and Functions test

Question 1

Find the next four terms of the arithmetic sequence 16, 24, 32,...

Accepted Answer

40, 48, 56, 64

Answer

36, 40, 44, 48

Answer

35, 40, 45, 50

Answer

40, 44, 50, 56

Question 2

Which graph is an example of a geometric sequence?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 3

Which graph is an example of an arithmetic sequence

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Question 4

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

Accepted Answer

64, 32, 16

Answer

1024, 2048, 4096

Answer

32, 8, 2

Answer

92, 66, 38

Question 5

Find a₂₀ in the sequence: Hint rewrite explicitly

$$a_1=5\ \ \ \ \ a_n=a_{\left(n-1\right)}+7$$

Accepted Answer

138

Answer

145

Answer

144

Answer

142

Question 6

Write the equation recursively:::HINT:::find a(1) use graph or algebra

$$a_n=3n-2$$

Accepted Answer

a(1)=1

a(n)=a(n-1)+3

Answer

a(1)=-2

a(n)=a(n-1)+3

Answer

a(1)=3

an=a(n-1)-2

Answer

a(1)=1

an=a(n-1)-2

Question 7

Find the 9th term in the following sequence: Hint: rewrite sequence explicitly

$$a_1=4;\ \ \ a_n=2 imes a_{\left(n-1 ight)}$$

Accepted Answer

1,024

Answer

384

Answer

512

Answer

768

Question 8

Write the recursive rule of the sequence:::HINT find a(1) use graph or algebra

$$a_n=2\cdot6^{\left(n+1\right)}$$

Accepted Answer

a(1)=72

a(n)=6*a(n-1)

Answer

a(1)=2

a(n)=6*a(n-1)

Answer

a(1)=6

a(n)=2*a(n-1)

Answer

a(1)=2

a(n)=6+a(n-1)

Question 9

Rewrite the recursive equation of the sequence explicitly $$a_1=3,\ a_{n-1}-7$$

Accepted Answer

$$a_n=3-7\left(n-1\right)$$

Answer

$$a_n=7\left(n-1\right)+3$$

Answer

$$a_n=3\left(n-1\right)-7$$

Answer

$$a_n=3+\left(n-1\right)-7$$

Question 10

rewrite the explicit rule of the sequence $$a_n=4+\left(n-1\right)5$$ recursively

Accepted Answer

$$a_1=4,\ a_n=a_{n-1}+5$$

Answer

$$a_1=5,\ a_n=a_{n-1}+4$$

Answer

$$a_1=4,\ a_n=5\left(a_{n-1}\right)$$

Answer

$$a_1=5,\ a_n=4\left(a_{n-1}\right)$$

Question 11

rewrite the explicit rule of the sequence $$a_n=4\left(5\right)^{n-1}$$ recursively

Accepted Answer

$$a_1=4,\ a_n=5\left(a_{n-1}\right)$$

Answer

$$a_1=4,\ a_n=a_{n-1}+5$$

Answer

$$a_1=5,\ a_n=a_{n-1}+4$$

Answer

$$a_1=5,\ a_n=4\left(a_{n-1}\right)$$

Question 12

Rewrite the recursive equation of the sequence explicitly $$a_1=3,\ \left(-7\right)a_{n-1}$$

Accepted Answer

$$a_n=3\left(-7\right)^{n-1}$$

Answer

$$a_n=3^{n-1}+\left(-7\right)$$

Answer

$$a_n=\left(-7\right)^{n-1}\ -3$$

Answer

$$a_n=7\left(3\right)^{n-1}$$

Sequences and Functions test

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