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Which expression represents the value of the series below? 3 + 7 + 11 + 15 + ... + 1,671

Respuesta :

Answer:

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Step-by-step explanation:

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MrRoyal

The sum of the series 3 + 7 + 11 + 15 + ... + 1,671 is 349866

How to evaluate the series?

The series is given as:

3 + 7 + 11 + 15 + ... + 1,671

The above series is an arithmetic series with the following parameters

  • First term, a = 3
  • Last term, L = 1671
  • Common difference, d = 4

Calculate the number of terms using:

L = a + (n - 1) * d

This gices

1671 = 3 + (n - 1) * 4

Subtract 3 from both sides

1668 = (n - 1) * 4

Divide both sides by 4

417 = n - 1

Add 1 to both sides

n = 418

The sum of the series is then calculated using:

Sn = n/2 * (a + L)

This gives

Sn = 418/2 * (3 + 1671)

Evaluate the product

Sn = 349866

Hence, the sum of the series is 349866

Read more about arithmetic series at:

https://brainly.com/question/6561461

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