# Need Help

Can someone Explain Newton's Sums to me?

The explanation,Some examples and a few exercise Problems would be really appreciated.

Note by Mehul Arora
3 years, 1 month ago

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[example link](https://brilliant.org)example link
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2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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Do you still need help ?

- 3 years, 1 month ago

Yeah... Newton sums are still going over my head, although I understood like 20% of it XD

- 3 years, 1 month ago

Ok. Where do you have a doubt ?

- 3 years, 1 month ago

Like I'm trying but kinda not understanding the terminology basically.. Like ini the Brilliant wiki, What is P1? etc... Maybe if I can understand the terminology Ill be able to comprehend it.

- 3 years, 1 month ago

$$P_n$$ means (For a quadratic polynomial) that $$P_n = a^n + b^n$$ where $$(a,b)$$ are roots of Polynomial $$f(x)$$
Any other Problem ?

- 3 years, 1 month ago

Start solving questions :)

- 3 years, 1 month ago

Yeah.. I am trying. Just learnt Vieta's. Trying to perfect it. :)

- 3 years, 1 month ago

Best of luck :)

- 3 years, 1 month ago

Thanks!!

- 3 years, 1 month ago

Sorry, not at home. Answering from mobile (difficult to type). Will be home in 2-3 days. Will surely help you then.

- 3 years, 1 month ago

When's your vacation going to be over ?

- 3 years, 1 month ago

I 'll be at home on 25th. And my School.starts on 1st April.

- 3 years, 1 month ago

Ok. Enjoy :)

- 3 years, 1 month ago

Check out the Brilliant wiki - Newton's Identities, which is in the Vieta formula chapter in algebra.

Staff - 3 years, 1 month ago

Sir, I did go through to the wiki but it went over my head. Can someone please explain it in an easier fashion?

- 3 years, 1 month ago

Have you tried the Brilliant wiki on it ?

- 3 years, 1 month ago

Yeah.. I didn't learn much. The wiki must be good though it went over my head.

- 3 years, 1 month ago

Then try the AoPS wiki on Newton's Sums . I had learnt it from there since when I had learnt it , the wiki on Brilliant wasn't filled out . Or you can always download some pdfs on the topic . Now that always works (for me atleast!)

- 3 years, 1 month ago

Can you give me some links (apart from AoPS)

- 3 years, 1 month ago

Hmm ,strange . I couldn't find any good pdf for this topic . But try it out yourself and if you have any doubt in it , ask here and I'll only be glad to help you out :)

- 3 years, 1 month ago

Do you have Hall and Knight ? If so , please check pg 468 .

- 3 years, 1 month ago

Nope.. Which class is it aimed at?

- 3 years, 1 month ago

It's just a ref. book for Algebra .

- 3 years, 1 month ago

Well, it'd be better if you could point out the parts you don't understand in the Brilliant wiki on Newton's sums.

Also, I'd recommend the Wikipedia article on Newton's Identities. I learnt it from there. :D

There are two points to note when learning Newton's Identities. It is a method that helps you to form a recurrence for power sums of roots, so it'd be better if you have a good understanding of recurrence relations. Also, applications of Newton's Identities mostly use Vieta's formulas because you need to find the elementary symmetric polynomials first before calculating the power sums. If you get confused with "too many formulas" there, just remember the concise form stated in the Brilliant wiki under the section "General Form".

- 3 years, 1 month ago

I have learnt all the Vietas formulae but Ill start working on the Recurrence relations right away...

Wah wah!! XD

- 3 years, 1 month ago