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Ok, I'm just slightly confused.

I have to find the sum to infinity of a series, which turns out to be arithmetic in its nature. Is it correct to find the sum from n=1 to n=n, because you clearly cannot define n=infinity.

I have to find the sum to infinity of a series, which turns out to be arithmetic in its nature. Is it correct to find the sum from n=1 to n=n, because you clearly cannot define n=infinity.

Siddhartha

Ok, I'm just slightly confused.

I have to find the sum to infinity of a series, which turns out to be arithmetic in its nature. Is it correct to find the sum from n=1 to n=n, because you clearly cannot define n=infinity.

I have to find the sum to infinity of a series, which turns out to be arithmetic in its nature. Is it correct to find the sum from n=1 to n=n, because you clearly cannot define n=infinity.

You cant define n=infinity, but you can consider the limit as n tends to infinity.

Also, as aleady said, an arithmetic progression diverges since its comparable to the sum of n, which is divergent. The "sum to infinity" is only really heard of in geometric series' in my experience.

Original post by DFranklin

That's probably because you don't have much experience of convergent series other than geometric ones.

But you can use "sum to infinity" for any series that converges; for example $\sum_1^\infty \frac{1}{n(n+1)} = 1$

But you can use "sum to infinity" for any series that converges; for example $\sum_1^\infty \frac{1}{n(n+1)} = 1$

Sorry can someone explain this further

The sum of all the positive consecutive integers to infinity is equal to -1/12.

Just this this was interesting to share

Just this this was interesting to share

Original post by Y11_Maths

The sum of all the positive consecutive integers to infinity is equal to -1/12.

Just this this was interesting to share

Just this this was interesting to share

Hope you're joking.

Original post by Y11_Maths

The sum of all the positive consecutive integers to infinity is equal to -1/12.

Just this this was interesting to share

Just this this was interesting to share

It's not really. The Numberphile video isn't one of their best - this explains things much better, although it's quite long!

Original post by Baeha

Sorry can someone explain this further

Please start a new thread. This one is ancient.

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- Arithmetic sequence diverge or converge formula?
- Math Proof Questions
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- Engaa help plsss urgent!!!
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- Edexcel a level maths proofs
- Random Variable Qusetion - A Level Further Statistics
- A Level maths question
- Durham International.Study Centre
- Understanding an inequality concerning the Euler totient function
- A Level maths proof
- .
- Does a geometric series oscillate?
- OCR B (MEI) Y420/01 - Core Pure - Wednesday 22nd May 2024 - [Exam Chat]

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can someone please explain what principle domain is and why the answer is a not c?Maths

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