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Mathematics 20 Online
cpl106:

screenshot below

cpl106:

1 attachment
Imagine:

Explicit Formula: \[a(n)=3+2(n-1)\]

Timmyspu:

@jhonyy9

Imagine:

So, \(1|2|3\) \(2|8|32\) \[f(n)=2\times(3)^n-1\]

Imagine:

Jhonny? Correct?

jhonyy9:

so the numbers from the top lines are the roots of the functions from the bottom lines just you need substitute them in place of x inside every function and in this way will get the right answers easy

Imagine:

Is the first one I gave correct?

Imagine:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Imagine So, \(1|2|3\) \(2|8|32\) \[f(n)=2\times(3)^n-1\] \(\color{#0cbb34}{\text{End of Quote}}\)

fireballfireball:

oh dang i cant help u with this sorry only in 7th grade XD

cpl106:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @fireballfireball oh dang i cant help u with this sorry only in 7th grade XD \(\color{#0cbb34}{\text{End of Quote}}\) its fine

jhonyy9:

for n= 1 what you get ?

Imagine:

n=1-1=0 2x3=6 2+6=8.

cpl106:

yall lost me

Imagine:

Nerd math talk here.

jhonyy9:

no n is there exponent

Imagine:

Yeah, but when subtracted by 1, it becomes 0.

Imagine:

O wait.

jhonyy9:

no

Imagine:

\[3^0=1\] \[2\times1=2\] |\(1\)| |\(2\)|

Imagine:

Ah that makes more sense.

Imagine:

I have to pay more attention.

jhonyy9:

no what is the function

Imagine:

\[f(n)=2\times(3)^n-1\]

Imagine:

The -1 is a also exponent. but it wouldn't let me place it.

jhonyy9:

3^(1) = 3

Imagine:

No... Jhonny,

Imagine:

1 attachment
Imagine:

That is the function.

jhonyy9:

but sure 3 on power of 1 equal 3

Imagine:

You have to subtract The exponet "1" from -1 to get you exponet 0.

Imagine:

Then 3^0=1.

Imagine:

Then, 2x1=2.

jhonyy9:

f(1) = 2*3^1 -1 = 6 -1 = 5

Imagine:

No Jhonny.

cpl106:

so would 1 2 3 3 6 12 would that be f(n)=2 x (6) ^ n-1?

jhonyy9:

yes but how you wrote the 1 not is exponent

cpl106:

oh sorry

Imagine:

One is the exponent.

jhonyy9:

f(n) = 2*3^(n-1)

Imagine:

Correct.

jhonyy9:

this is the function

Imagine:

1|2|3 2|8|32

cpl106:

so would 1 2 3 2 12 72 be f(n)=3 x (4) ^ n-1?

Imagine:

f(n) = 2*3^(1-1) 2x3^0 3^0=1 2x1=2

jhonyy9:

sorry in case of the first for n=2 not is right

cpl106:

so i was incorrect?

jhonyy9:

for the first for n=2 f(2) = 6 not 8

cpl106:

im confused now

jhonyy9:

why ? f(2) = 2*3^(2-1) = 2*3^1 = 6

cpl106:

math just confuses the crap out of me, never understood and barely passed since like 5th grade, but I'm slowly starting to understand it more

jhonyy9:

@Imagine

darkknight:

jhonyy @imagine wrote the equation wrong she meant to write \[2 \times (3)^{n-1}\] if that handles the confusion

darkknight:

Now easiest way to solve this is to plug in values for 1 2 and 3 for n. And whatever table the output matches that is the explicit formula for that one. For example is u plug in 1, 2 and 3, into one of the explicit formulas, and end up with f(n) = 2, 8 and 32 then that explicit formula is what is used for that specific table

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