# B Question about properties of sums and products

1. May 15, 2016

### MAGNIBORO

Hi and sorry for bad english.

I want to know if these properties are true

https://gyazo.com/88c471f4bb9989b67a390c372f2c72fe [Broken]

and

https://gyazo.com/85f4110664db6831576012debaf3a778 [Broken]

I did not find these properties in any place.
so I guess it will be obvious or are incorrect,
if incorrect I would like to see counterexamples.
thanks

Last edited by a moderator: May 7, 2017
2. May 15, 2016

### micromass

Staff Emeritus
Can you write these properties using an "if ... then" structure and not use the word "so"?

Also, can you write basic definitions of $a$, $b$, $f$ and so on? Are we working in the real numbers? Or a general vector space? Or?

3. May 15, 2016

### MAGNIBORO

a and b are any whole numbers (or infinity) , f(i), g(i),t(i),b(i) are any functions of i

Last edited: May 15, 2016
4. May 20, 2016

### whit3r0se-

For the first case, it isn't always true.
The Sum of x between 1 and 0 is 1, and the sum of x^2 between 1 and 0 is also one. We can generalise this to x^n where n is real and not equal to 0, this would produce the same answer between [0,1]