Question

What is the explicit rule for this geometric sequence?

a1 =−15;an= 1/5 ⋅ an−1

A. an = −15(1/5)n−1

B. an = 15(−1/5)n−1

C. an= 1/5 ⋅ (−15)n−1

D. an = −1/5 ⋅ 15n−1

Answer 1

the common ratio is 1/5 and the first term is -15

write an expression where an = first term * common ratio ^ (n-1)

Answer 2

a1 = 1/5 x -15

Answer 3

but the answer is B

Answer 4

an = first term * common ratio ^ (n-1)

replace "first term" with -15 and "common ratio" with (1/5)

Answer 5

an = -15 x (1/5) ^ (n - 1)

Answer 6

good and which answer choice matches?

Answer 7

A

Answer 8

good.

Answer 9

is this the exact question? the sequence doesn't appear to be geometric

Answer 10

WAIT

Answer 11

oh wait I get it, the first term is 4/3

Answer 12

What is the common ratio for the geometric sequence?

4/3, 4, 12, 36,...



Enter your answer in the box.


___________

Answer 13

yes

Answer 14

my mistake

Answer 15

anyway, you want to divide the second term by the first term

Answer 16

4/(4/3) = ?

Answer 17

3

Answer 18

good so that's your common ratio

Answer 19

The function h (m) = 10 + 4m represents the height of a vine, in centimeters, m months after the vine was transplanted.

What does the value 10 represent in this situation?

A. The vine grows 10 cm each month.

B. The vine was 10 cm tall when it was transplanted.

C. The vine grew for 10 months.

D. The vine was 10 months old when it was transplanted.

Answer 20

The answer is c, since at month 0 we have


h(m) = 10 + 4*0
h(m) = 10 cm

Answer 21

CORRECT ?

Answer 22

10 is the initial value, or the value at m = 0

Answer 23

B

Answer 24

good, b.

Answer 25

The function p (d) = 5 ⋅ 4^d−1 represents the number of people who receive a certain e-mail on day d of an e-mail experiment.

What does the value 5 represent in this situation?

A. Every day, the number of people receiving the e-mail increases by 5.

B. Five people received the e-mail on the first day of the experiment.

C. Every day, the number of people receiving the e-mail increases by 5%.

D. There are 5 people running the experiment.

Answer 26

hint: 5 is the initial value, what does that mean in the context of the problem?

Answer 27

that is the ordinary differential equation that is put together with a specified value

Answer 28

that is not relevant to the context of this problem, this is not a differential equation.

Answer 29

since the output represents the number of people receiving the email and d = number of days, the initial value is the number of people receiving the email on day 1

Answer 30

please stop pasting irrelevant information

Answer 31

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
since the output represents the number of people receiving the email and d = number of days, the initial value is the number of people receiving the email on day 1
\(\color{#0cbb34}{\text{End of Quote}}\)

use this as a hint to pick the correct answer

Answer 32

it's B

Answer 33

good.

Answer 34

The function q (w) = 3 + 5(w − 1) represents the number of quarters in a bowl on week w.

What does the value 5 represent in this situation?



A. Quarters were added to the bowl for 5 weeks.

B. There were 5 quarters in the bowl on Week 1.

C. Five quarters are added to the bowl every week.

D. The value of the quarters in the bowl on Week 1 was $5.

Answer 35

as a hint, 5 is the rate of change

Answer 36

D

Answer 37

5 is the rate at which we are adding quarters to the bowl

Answer 38

A

Answer 39

~rate~ not time

Answer 40

it's not A OR d

it's either B or C

C

Answer 41

good, C.

Answer 42

The function s(t) represents the value of a toy t years after it was purchased.

s(t) = 65(0.87)^t

What does the value 65 represent in this situation?



A. The initial value of the toy is $65.

B. Every year the value of the toy increases by $65.

C. Every year the value of the toy decreases by $65.

D. The value of the toy after t years is $65.

Answer 43

in the geometric sequence formula, the number on the left side being multiplied to r^(n-1) is the ~initial value~

Answer 44

A

Answer 45

good

Answer 46

The function c(t) represents the total cost for an artist to draw t pictures.

c(t) = 34.5t + 127.5

What does the value 34.5 represent in this situation?

A. For each picture drawn, the total cost decreases by $34.50.

B. The initial cost is $34.50.

C. For each picture drawn, the total cost increases by $34.50.

D. The total cost to draw t pictures is $34.50.

Answer 47

since 34.5 is being multiplied by the variable t we can presume that this is the cost per painting

Answer 48

which answer makes the most sense given this information?

Answer 49

B

Answer 50

$34.5 is not the initial cost, it is the cost per painting

Answer 51

D

Answer 52

"cost per painting" means that each painting costs $34.50

Answer 53

each picture increases the cost by $34.50

Answer 54

it's not B or D

it's either A or C

C

Answer 55

good, C.

Answer 56

ok thank you for all your help, have a wonderful day Vocaloid