Respuesta :

  The algebraic expression or sigma (summation) notation is given by:

∑ = 22(105 - 71)/2

And its value is ∑ = 374

What is sigma notation?

 The sigma notation is a mathematical operation used to determine the final value of the sum of "n" terms consecutively, when dealing only with numbers without variables this is known as an arithmetic series.

  The equation for this type of problem is:

∑ = n(a1 + an)/2

  • n : number of terms
  • a1 : first term
  • an : last term

  Our values are:

105+97+89+ . . . . . . +(-71)

  • a1 =105
  • an = -71
  • n = 22

∑ = 22(105 - 71)/2

∑ = 22(34)/2 = 11(34)

∑ = 374

Learn more about arithmetic series in:

https://brainly.com/question/24295771

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