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xeze [42]
4 years ago
7

The recursive rule for a geometric sequence is given.

Mathematics
2 answers:
Sladkaya [172]4 years ago
7 0

Answer:

an = 2/5 * (5) ^ (n-1)

Step-by-step explanation:

The common ratio is 5

(That is the number we multiply by)

The formula is

an = a1 (r) ^ (n-1)

an = 2/5 * (5) ^ (n-1)

fomenos4 years ago
6 0

Answer:

a_n= \frac{2}{5} (5)^{n-1}

Step-by-step explanation:

The recursive rule for a geometric sequence is given.

a1= 2/5; an=  5a^{n-1}

a1 is the first term = 2/5

USe the recirsive rule. compare an=  ra^{n-1}, where 'r' is the common ratio with the given recursive formula

r= 5, common ratio is 5

General explicit rule

a_n= a_1(r)^{n-1}

a1=2/5  and r= 5

So explicit rule becomes

a_n= \frac{2}{5} (5)^{n-1}

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On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
4 What is the solution to the inequality -3x-42>3 ?
Vladimir [108]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • What is the solution to the inequality -3x-42>3 ?

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

- 3 x - 42 \gt 3

Add 42 to both sides.

-3x>3+42

Add 3 and 42 to get 45.

-3x>45

Divide both sides by -3. As -3 is <0, the inequality direction has changed.

x

Divide 45 by -3 to get -15.

\huge \boxed{ \boxed{ \bf \: x

8 0
3 years ago
HEY I NEED SOME HELP I'LL GIVE YOU 26 POINTS!!!!!!<br> Which of the tables represents a function?
dexar [7]

Answer:

D

Step-by-step explanation:

:)

4 0
3 years ago
Find the area of a polygon with vertices at (1,3), (7,3), (7,7), and (4,7).
Natasha2012 [34]

(1,3) and (7,3) falls on the same horizontal line. hence, the distance is just equal to 6 units. (7,3) and (7,7) meanwhile lie on the same vertical line. hence the distance is 4. (7,7) and (4,7) lie on the same horizontal line with a distance of 3. 

Finally, to get back to point (1,3) - (4,7) ----> (1,3), 3 to the left and 4 down, the diagonal being 5. 
6+4+3+5= 10 + 8 = 18.
8 0
3 years ago
Read 2 more answers
Solve for x. Write your answer in the space below. 7x = 42.
nikitadnepr [17]

Answer:

x=6

Step-by-step explanation:

7x =42

7     7

 x=6

Divide 7 on both sides

3 0
3 years ago
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