HELP how to plug this into the calculator sigma notation?

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Discussion Overview

The discussion revolves around how to evaluate a summation expressed in sigma notation using a calculator, specifically focusing on the expression 4 ∑ 2 cos (π/k) from k = 1 to 4. Participants explore different methods for calculating the sum and the necessity of using a calculator for this particular case.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks a step-by-step process to input the summation into a calculator.
  • Another participant suggests that expanding the summation into its individual terms may be more straightforward since it only contains four terms.
  • A third participant provides the expanded form of the summation, calculating the cosine values for each term, implying that a calculator may not be necessary.
  • A fourth participant describes how to use specific calculator functions (sum and seq) to evaluate the summation, indicating that these functions can be found in the calculator's menu.

Areas of Agreement / Disagreement

Participants express differing opinions on whether using a calculator is necessary for this summation. Some suggest that manual calculation is sufficient, while others provide guidance on using the calculator.

Contextual Notes

There is no consensus on the best approach to evaluate the summation, and participants have not resolved whether the calculator is needed for this specific case.

femmed0ll
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how would i plug this into the calculator? to find the sum?
step by step process? thankss!

4
∑ 2 cos (π/k)
k = 1

i tried this site
http://mathbits.com/mathbits/tisection/Algebra2/summation.htm
and i got a different answer...so i just need help with the set up on a T.I calc.
 
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Why would you want to? This is a summation with four terms. Just expand the summation into its four terms.
 
[tex]\sum_{k= 1}^4 2 cos\left(\frac{\pi}{k}\right)= 2 cos\left(\frac{\pi}{1}\right)+ 2 cos\left(\frac{\pi}{2}\right)+ 2 cos\left(\frac{\pi}{3}\right)+ 2 cos\left(\frac{\pi}{4}\right)[/tex]

Since [itex]cos(\pi)= -1[/itex], [itex]cos(\pi/2)= 0[/itex], [itex]cos(\pi/3)= 1/2[/itex], and [itex]cos(\pi/4)= \sqrt{2}/2[/itex], you shouldn't need to use a calculator.
 
for the function f(x) for x=a to x=b the screen should read

sum(seq(f(x),x,a,b,1)

you should be able to catalog or 2nd[math] to find the [sum(] and [seq(] operators

hope this helps
 

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