All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Verify and prove (Posted on 2017-12-10)
Consider:
```      (15 + 25)     +     (17 + 27)     =   2 *(1 + 2)4
(15 + 25 + 35)   +   (17 + 27 + 37)   =  2 *(1 + 2 + 3)4
(15 + 25 + 35 + 45) + (17 + 27 + 37 + 47) = 2 *(1 + 2 + 3 + 4)4
...                  ...       and so on     ...```
First, verify that both sides are equal for further increase in n,

then prove it.

 No Solution Yet Submitted by Ady TZIDON No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer verification no proof ... or, come to think about it ... | Comment 2 of 5 |
(In reply to computer verification no proof by Charlie)

The LHS is a 7th degree polynomial in n, and the RHS is an 8th degree polynomial (what's inside the parentheses is a quadratic).  An 8th degree polynomial or lower is determined (or over-determined) by 9 points on it. We have 24 points shown on the polynomials--more than enough to show (prove) they're the same.
 Posted by Charlie on 2017-12-10 10:32:30

 Search: Search body:
Forums (0)