A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Hi, I need to prove Sn= 6n^26n+1. How can I d othis?
anonymous
 5 years ago
Hi, I need to prove Sn= 6n^26n+1. How can I d othis?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[6n ^{2}6n+1\] HOW CAN I PROVE THIS?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Need more info, what subject or course are you doing?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Just Math, an IB course. I don't know how to prove this... at all, any questions to lead me towards something productive?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.06n^26n+1 = 0 is that what yu are trying to prove?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(1) = 1 f(2) = 13 f(3) = 37 f(4) = 73 f(5) = 121 f(6) = 181

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It's actually, f(n) = 6n^2  6 + 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait, ANOTHER TYPO. f(n) = 6n^2  6n + 1 a quadratic equation.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0haha now it's solvable ^^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so how can I do this?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0get any point yu have and put on your equantion: f(5) = 121 121 = 6(5)^2  6(5) + 1 121 = 150  30 + 1 121 = 121 (True) is that right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But that's just checking, I need to know how to prove the equation without knowing the formula already..?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0either factor it or complete the square

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i think she has to find the formula with those points she has

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.01st term=12+1 2nd term=13+2(12) 3rd term=37+3(12) 4th term=73+4(12) . . nth term=(n1)th term+n(12)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh sorry, first term is 1. So, the formula should be: \[a_n=a_{n1}+12(n1)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and then.. ? what do I do from there to get 6n^2  6n + 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Look above at the example of Mathmind, that is what you do for each term. You just dismissed it as that's just checking. That is what you are supposed to do, check to see if it is true or not.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so how would I prove the equation if I don't know what the equation is to begin with...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You were given the info. You gave us the info. I think you are a little lost, but that is OK. When they say f(1)=1. They are saying that 6(1)^26(1)+1=1 I this true or not?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah I know that's true. But I'm not proving that the points match, I'm using the points to find an equation, say that I don't know what the equation is.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(1)=1 f(2)=1+12 f(3)=1+12+2(12)=1+12(1+2) f(4)=1+12+2(12)+3(12)=1+12(1+2+3) f(n)=1+12(1+2+3+..(n1))

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now we are lost. You said you wanted to prove something. You didn't say you want to find an equation. We apologize.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There is a formula for the summation (1+2+3+..+(n1)), that's: \[1+2+3+...+(n1)={1 \over 2}n(n1)\] Plug that in the previous equation, you get: \[f(n)=1+12({1 \over 2}n(n1))=1+6(n(n1))=1+6n^26n\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can you help me explain this? I'm not sure how I would explain this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The steps are all clear. Try to read them again, the last two comments before "I hope that hels".

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If there is something you don't understand, let me know.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.