Recent content by ChelseaL
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MHB Proving \sum_{r=1}^{\infty} \frac{1}{k(k+1)} = 1 Using Deduction
So basically they are equal?- ChelseaL
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Proving \sum_{r=1}^{\infty} \frac{1}{k(k+1)} = 1 Using Deduction
Use the fact that \frac{1}{k} - \frac{1}{k+1} = \frac{1}{k(k+1)} to show that Deduce that \infty sigma (\frac{1}{k(k+1)}) = 1 r=1 How do I solve this?- ChelseaL
- Thread
- Replies: 7
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Sigma 1/(k(k+1)): Step-by-Step Guide
Thank you!- ChelseaL
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Geometric Series: Find Sum of Infinity - 9-32-n
This is my first time hearing this term. I don't think my lecturer expects us to use that method since we never covered it in class.- ChelseaL
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Sigma 1/(k(k+1)): Step-by-Step Guide
Sn = 1 + (1/n+1)?- ChelseaL
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Geometric Series: Find Sum of Infinity - 9-32-n
How do I work it out from there?- ChelseaL
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Sigma 1/(k(k+1)): Step-by-Step Guide
Use the fact that \frac{1}{k} - \frac{1}{k+1} = \frac{1}{k(k+1)} to show that n sigma (\frac{1}{k(k+1)}) = 1- \frac{1}{n+1} r=1 What do I need to do to solve it?- ChelseaL
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- Induction
- Replies: 4
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Geometric Series: Find Sum of Infinity - 9-32-n
I'm not exactly sure what the topic is, but this is the part before it. https://mathhelpboards.com/discrete-mathematics-set-theory-logic-15/geometric-series-24025.html- ChelseaL
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Geometric Series: Find Sum of Infinity - 9-32-n
Given that the sum of the first n terms of series, s, is 9-32-n Find the sum of infinity of s. Do I use the formula S\infty = \frac{a}{1-r}?- ChelseaL
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- Geometric Geometric series Series
- Replies: 8
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
ohhhh. What do I need to do from here?- ChelseaL
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
\frac{1}{n+1}?- ChelseaL
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
18/3n + 1 / (18/3n)? Sorry for not really understanding this topic. My lecturer regularly misses class and refuses to help us when we ask questions.- ChelseaL
- Post #6
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
What do you mean?- ChelseaL
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
So far I have this 9-32-n 3 = 9 = 9 -(n-2) = 9 -(n-1-1) = 9 -(n-1) + 1 = 9 \cdot 3 -(n-1) = 9 (\frac{1}{3}) n-1 where a=9 and r=\frac{1}{3}- ChelseaL
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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MHB Solve Geometric Series: Find n from s=9-32-n
Given that the sum of the first n terms of series, s, is 9-32-n show that the s is a geometric progression. Do I use the formula an = ar n-1? And if so, how do I apply it?- ChelseaL
- Thread
- Geometric Geometric series Series
- Replies: 10
- Forum: Set Theory, Logic, Probability, Statistics