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Neko [114]
3 years ago
6

Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frust

rating me. Thank you!

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence.  The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

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Can someone help and explain how to find domain and range I'm confused doing it on the last to I know how to do it with x just n
Thepotemich [5.8K]

Answer:

Domain is the set of inputs that will give you a defined output.

In example, f(x)=5/x, the domain would be all real numbers except for 0, because if it would be 0, it would be 5/0 which would be undefined.

Range is the set of outputs that are possible.

In example, f(g)=g(0), the range would be 0.

8 0
2 years ago
What is the slope of the linear table below?
Drupady [299]

Answer:

A. 2/3

Step-by-step explanation:

Plot the points, so you visualize rise/run.

When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).

8 0
3 years ago
Please help me please love you bestie
tankabanditka [31]

Answer:

you'll look back on this and say how easy this is you got it. but for today the bottom one is (3,0) the middle one is (2,3) and the top one is (4,4)

8 0
3 years ago
The half-life of Plutonium-23 is 30 min. How much of a 1500 mg sample will be left 5 hours from now?
gogolik [260]
Half life means exactly 1/2 of what's left decays
example

if yo has 16grams
if half life is 1 hour, after 1 hour, 8g is left
after another hour, 4g is left
after another your, 2g is left
etc


so find how many half lifes have elapes

so

the amount left after n halflives when you start with P amount is
A=P(1/2)^n

5hr=60*5=300mins
300/30=10
10 half lifves

P=1500
n=10
A=1500(1/2)^10
A=375/256
A≈1.46484g
about 1.5g left
4 0
2 years ago
An NBA fan named Mark claims that there are more fouls called on his team any other team, but the commissioner says that the num
Ierofanga [76]

Answer:

Fouls > Average Fouls

Step-by-step explanation:

Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5

Alternate Hypothesis [ H1 ] : Fouls > Average Fouls

t =  ( x - u ) / ( s / √n )

where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34

So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 /  ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55

t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'

6 0
2 years ago
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