Help with five sequences and series problems for maths

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ertagon2
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Can someone help me with these. These are the last 5 questions that I have to do and if I get them right I pass maths.
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  • Table of five numbered maths questions with answer boxes: sequence limit for a0 = 3/2 and an = sqrt(3a(n-1) - 2); sum of (n-1)^2 for n=0 to 4; geometric series sum of 2/3^n; fourth partial sum of 1/(2n); coefficient of x^2 in the Maclaurin series of e^(2x).
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ertagon2 said:
Can someone help me with these. These are the last 5 questions that I have to do and if I get them right I pass maths.
Do you mean to say you can't do 2 and 4?? What are the possible values for n? Do you know what an nth partial sum is?

Hint: 3 is a geometric ratio. What is the sum for this?

-Dan
 
If, as you appear to be saying, you know nothing at all about these problems, why should you pass maths?

The second problem asks you to find [math]\sum_{n=0}^4 (n-1)^2[/math]. Do you know what that means? If you do then this is a simple arithmetic problem. If you do not then you should Not pass maths!