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mixas84 [53]
3 years ago
14

Write a recursive function for the following geometric sequence ,6,18,54,162

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

f(n + 1) = 3f(n) with a₁ = 6

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = 18 ÷ 6 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

Expressing this as a recursive function then

f(n + 1 ) = 3f(n) with a₁ = 6

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Can someone pls help need it ASAP and can you pls explain in full detail how to do it
GenaCL600 [577]

Answer:

x= 1 , y=4

Step-by-step explanation:

x-y= -3 => Equation 1

x+5y= 21 => Equation 2

<u>Substitut</u><u>ion</u><u> </u><u>Method</u><u>:</u>

<u>Substitu</u><u>te</u><u> </u><u>Equation</u><u> </u><u>1</u>=>

x=y-3 <= Equation 3

Put x=y-3 in Equation 2:

x+5y=21

( y-3)+5y=21

y-3+5y=21

6y-3=21

6y=21+3

6y=24

y=24÷6

y=4

Put y=4 in Equation 1:

x-y= -3

x-4=-3

x=4-3

x=1

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Help me please thank you
oee [108]

Hello from MrBillDoesMath!

Answer:

2(x+8) = 40


Discussion:

Rewrite the original Question as

" Twice the (sum of a number and 8) is 40"   =>

2                ( x                              +    8 ) = 40 =>

2 (x+8) = 40


which is the third bullet point from the top


Thank you,

MrB

7 0
3 years ago
HELPPPPPP make sure your right !:)
makvit [3.9K]
To find your constant of variation, you just need to figure out what you multiply the x by in order to get f(x). In other words, what do you multiply the 3 by to get 6? What do you multiply the 7 by to get 14? Another way to think of it is to divide f(x) by the x to get your constant. 
4 0
3 years ago
Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. St
Digiron [165]

Answer:

<em>15c + 25s ≤ 1500</em>

Step-by-step explanation:

Let the number of stools be s

Let the number of chairs bought be c

If each tools cost $15, s stools will cost $15c

If a chairs cost $25, c chairs will cost $25s

Total costs = 15c + 25s

If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500

<em>The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.</em>

<em>Hence the correct equation is  15c + 25s ≤ 1500</em>

4 0
3 years ago
Find the first Taylor polynomial T1(x) for f(x)=exp(x) based at b=0:
avanturin [10]

Answer:

f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)

Step-by-step explanation:

f(x) = eˣ

Expand using first Taylor Polynomial based around b = 0

The Taylor's expansion based around any point b, is given by the infinite series

f(x) = f(b) + xf'(b) + (x²/2!)f"(b) + (x³/3!)f'''(b) + ....= Σ (xⁿfⁿ(b)/n!) (Summation from n = 0 to n = ∞)

Note: f'(x) = (df/dx)

So, expanding f(x) = eˣ based at b=0

f'(x) = eˣ

f"(x) = eˣ

fⁿ(x) = eˣ

And e⁰ = 1

f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)

6 0
3 years ago
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