screenshot below
Explicit Formula: \[a(n)=3+2(n-1)\]
@jhonyy9
So, \(1|2|3\) \(2|8|32\) \[f(n)=2\times(3)^n-1\]
Jhonny? Correct?
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
Is the first one I gave correct?
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Imagine So, \(1|2|3\) \(2|8|32\) \[f(n)=2\times(3)^n-1\] \(\color{#0cbb34}{\text{End of Quote}}\)
oh dang i cant help u with this sorry only in 7th grade XD
\(\color{#0cbb34}{\text{Originally Posted by}}\) @fireballfireball oh dang i cant help u with this sorry only in 7th grade XD \(\color{#0cbb34}{\text{End of Quote}}\) its fine
for n= 1 what you get ?
n=1-1=0 2x3=6 2+6=8.
yall lost me
Nerd math talk here.
no n is there exponent
Yeah, but when subtracted by 1, it becomes 0.
O wait.
no
\[3^0=1\] \[2\times1=2\] |\(1\)| |\(2\)|
Ah that makes more sense.
I have to pay more attention.
no what is the function
\[f(n)=2\times(3)^n-1\]
The -1 is a also exponent. but it wouldn't let me place it.
3^(1) = 3
No... Jhonny,
That is the function.
but sure 3 on power of 1 equal 3
You have to subtract The exponet "1" from -1 to get you exponet 0.
Then 3^0=1.
Then, 2x1=2.
f(1) = 2*3^1 -1 = 6 -1 = 5
No Jhonny.
so would 1 2 3 3 6 12 would that be f(n)=2 x (6) ^ n-1?
yes but how you wrote the 1 not is exponent
oh sorry
One is the exponent.
f(n) = 2*3^(n-1)
Correct.
this is the function
1|2|3 2|8|32
so would 1 2 3 2 12 72 be f(n)=3 x (4) ^ n-1?
f(n) = 2*3^(1-1) 2x3^0 3^0=1 2x1=2
sorry in case of the first for n=2 not is right
so i was incorrect?
for the first for n=2 f(2) = 6 not 8
im confused now
why ? f(2) = 2*3^(2-1) = 2*3^1 = 6
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
@Imagine
jhonyy @imagine wrote the equation wrong she meant to write \[2 \times (3)^{n-1}\] if that handles the confusion
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
Join our real-time social learning platform and learn together with your friends!