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defon
3 years ago
13

Write a RECURSIVE and EXPLICIT model for the following geometric sequence. 3, 15, 75, 375, 1875, ...

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

Step-by-step explanation:

Common ratio (r) = 2nd term / 1st term = 15/3 = 5

Recursive formula:

a_{n}=a_{n-1}*r \\\\a_{n}=a_{n-1}*5\\=5a_{n-1}

Explicit formula:

a = first term = 3

a_{n}=ar^{n-1}\\\\a_{n}=3*(5)^{n-1}\\

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PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per se
Andru [333]

Answer:

h = 2.25 m

Step-by-step explanation:

<u><em>Given:</em></u>

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

<u><em>Required:</em></u>

Height = h = ?

<u><em>Formula:</em></u>

v = \sqrt{2gh}

<u><em>Solution:</em></u>

For h, the formula will be:

=> h = \frac{v^2}{2g}

=> h = \frac{(12)^2}{2(32)}

=> h = \frac{144}{64}

=> h = 2.25 m

8 0
3 years ago
If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.
anastassius [24]

Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

-> 3(n + 12) = <u>64 more than</u> \frac{2n}{3}

-> 3(n + 12) = 64 +  \frac{2n}{3}

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 +  \frac{2n}{3}

[Distribute]

3n + 36 = 64 +  \frac{2n}{3}

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
3 years ago
Please Help!
Serga [27]

Answer:

so what is the question

Step-by-step explanation:

pls be more detailed. thank you

8 0
2 years ago
What is the domain of the function
mixas84 [53]

Answer:

  (a)  -∞ < x < ∞

Step-by-step explanation:

Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.

  -∞ < x < ∞

3 0
2 years ago
Https://learning.k12.com/content/enforced/361756-COF_ID92747/Extended%20Answer%202.GIF?_&amp;d2lSessionVal=6bj13oL4Dap6gjQyXIPmV
777dan777 [17]
Post a pic for me so i can answer
4 0
3 years ago
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