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Mathematics 18 Online
beep:

math help pls

beep:

1 attachment
Hero:

The formula for Geometric Sequence is \(a_n = a_1 \cdot r^{n - 1}\) Where \(a_1\) represents the first term and \(a_n\) represents the last term. We know that there are six terms in the sequence and that the 1st term is 3 and the last term is 3072, therefore \(a_1 = 3\) and \(a_6 = 3072\) which means \(n = 6\) So if we input these values in to the formula, what is the result @beep

beep:

would that be C?

Hero:

Explain how you came up with C because I was asking you what happens if you plug the values into the formula. Do you see the formula above?

Hero:

Did you understand what I wrote above?

Hero:

|dw:1570403563223:dw|

Hero:

|dw:1570403670256:dw|

Hero:

Are you following so far @beep ?

beep:

yes

beep:

keep going

Hero:

So you plug in the values of \(a_6\) and \(a_1\) to the formula then solve for \(r\): |dw:1570404058540:dw|

Hero:

Can you finish solving for \(r\) from here?

Hero:

After you solve for \(r\) you need to find these values: |dw:1570404250503:dw| Then you will have found all the missing values, but you have to find the value of \(r\) first before you can find the rest of them.

beep:

for number one i got square root 3? uh

Hero:

Can you show some of the work you did to get that?

Hero:

To solve for \(r\) you have to divide both sides by 3: |dw:1570405001664:dw|

Hero:

Then you have to take the 5th root of 1024 to get \(r\):

Hero:

Are you able to find \(\sqrt[5]{1024}\) @beep?

Hero:

@beep what is the matter?

beep:

oh o.o nvm

beep:

i did something wrong

Hero:

What step are you on with solving this ?

beep:

the first one?

beep:

lost track sorry

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