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Virty [35]
2 years ago
14

F(1)=64 and f(n)=1/2*f(n-1) for n>2 what is the first 4 terms

Mathematics
1 answer:
aalyn [17]2 years ago
3 0

9514 1404 393

Answer:

  64, 32, 16, 8

Step-by-step explanation:

The recursive definition tells you the first term is 64, and each succeeding term is 1/2 the one before. List 64, and keep dividing by 2 until you get the requested 4 terms.

  64, 32, 16, 8

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La
Marysya12 [62]

Answer:

Step-by-step explanation:

The formula you need for this is

A(t)=P(1+\frac{r}{n})^{nt where

A(t) is the amount after a certain number of years has gone by,

P is the initial deposit,

r is the interest rate in decimal form,

n is the number of compoundings done per year, and

t is the amount of time in years.

For us,

A(t) = 11900

P is 250

r is .048

n is 12 (there are 12 months in a year)

t is our unknown. Filling in:

11900=250(1+\frac{.048}{12})^{(12)(t) which simplifies a bit to

11900=250(1_.004)^{(12t) . Now we'll divide both sides by 250:

47.6=(1.004)^{12t and then take the natural log of both sides to bring that t down out front:

ln(47.6)=ln(1.004)^{12t and then

ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:

967.6383216 = 12t and divide both sides by `12 to get

t = 80.6 months which is 6.7 years

5 0
2 years ago
Using the change of base formula, evaluate log312 (round to the nearest hundredth).
Svetach [21]

Answer:

2.26

Explanation:

Given: log base 3 and 12

Using the base rule, we can write it as

= log 12 / log 3

Now we can find the value of log 12 and log 3 using a calculator.

= 1.07918124 /0.477121754

=2.26                

The answer is 2.26

5 0
3 years ago
Find the area of the trapezoid below.<br> 4 cm<br> 3 cm<br> 8 cm
AnnyKZ [126]

<u>Answer:</u>

4 + 8 / 2 * 3 = 18

4 + 8 = 12

12 / 2 = 6

6 * 3 = 18

<u />

<u>Step-by-step explanation:</u>

*Hope this helps*

4 0
2 years ago
Solve (x – 4)^2=5<br> Hhhhhbb
Oxana [17]

Answer:

x = 4 + sqrt(5) or x = 4 - sqrt(5)

Step-by-step explanation:

Solve for x:

(x - 4)^2 = 5

Take the square root of both sides:

x - 4 = sqrt(5) or x - 4 = -sqrt(5)

Add 4 to both sides:

x = 4 + sqrt(5) or x - 4 = -sqrt(5)

Add 4 to both sides:

Answer: x = 4 + sqrt(5) or x = 4 - sqrt(5)

6 0
3 years ago
Please help.........
natita [175]

Answer:

the answer is infinite numbers of solutions

Step-by-step explanation:

First yellow

second purple

third blue

7 0
3 years ago
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