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hi can someone help me on this question ;-

n sum r=1 (4r-3) >2000?? i got 23 but my book is getting 36 please help thanks
Reply 1
please anyone
Reply 2
somebody?
Reply 3
What have you done so far?
Reply 4
Original post by ghostwalker
I get n=32


how cause i got a quadratic formula
Reply 5
Original post by msmith2512
What have you done so far?


can u show me bro
Reply 6
I agree with ghostwalker and 32.

If you want some help then show me what you have done so far and I might be able to help you understand. Just giving you the answer won't help you in future.
Reply 7
Original post by msmith2512
I agree with ghostwalker and 32.

If you want some help then show me what you have done so far and I might be able to help you understand. Just giving you the answer won't help you in future.


ok i got for the first 3 terms 1,5,9
then i used the sum formula
sn=n/2(2+4n-4)=2000
sn=n(8n-4)=4000
8n squared -4n-4000
quadratic formula so i got 23
Original post by otrivine
ok i got for the first 3 terms 1,5,9
then i used the sum formula
sn=n/2(2+4n-4)=2000


OK up to here.


sn=n(8n-4)=4000


At this point you've multiplied by 4 on the LHS (you got rid of the 2 and multiplied the bracket by 2), and by 2 on the RHS.
Reply 9
Original post by ghostwalker
OK up to here.



At this point you've multiplied by 4 on the LHS (you got rid of the 2 and multiplied the bracket by 2), and by 2 on the RHS.


Yes is that correct?:smile:
Original post by otrivine
Yes is that correct?:smile:


No.

What ever you do to one side of an equation, you must do to the other to maintain equality.

So, multiplying one side by 4, and the other by 2 isn't a valid option.

I'd suggest just simplifying the LHS and dividing what you have in the brackets by the 2.
Reply 11
Original post by ghostwalker
No.

What ever you do to one side of an equation, you must do to the other to maintain equality.

So, multiplying one side by 4, and the other by 2 isn't a valid option.

I'd suggest just simplifying the LHS and dividing what you have in the brackets by the 2.


So u mean multiply both sides by 2 but I did right?
Original post by otrivine
So u mean multiply both sides by 2 but I did right?


No, you multiplied one side by 4.
Looking at one of two of your other threads, it looks like you're struggling with basic algebraic maniplulation; and that's an issue you really need to address.

I'll post the working for this one using two different methods.

Starting from Sn=n2(2+4n4)=2000S_n=\frac{n}{2}(2+4n-4)=2000

Let's simplify that to n2(4n2)=2000\frac{n}{2}(4n-2)=2000--------------(X)

A)

If we multiply through by 2 on each side, we get:

n(4n2)=4000n(4n-2)=4000

Then expanding brackets: 4n22n=40004n^2-2n=4000

And we can divide through by 2 and rearrange to get 2n2n2000=02n^2-n-2000=0

B) Alternatively, from (X), we could have

divided the 2 into the brackets to get

n(2n1)=2000n(2n-1)=2000

Expanding the brackets now, and rearranging we have, as before.

2n2n2000=02n^2-n-2000=0

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