Respuesta :

Answer:

[tex]10100[/tex]

Step-by-step explanation:

Use this formula,

[tex] \frac{n}{2} (2 {a} + d(n - 1)[/tex]

where n is the amount of even intergers, a is the starting term, d is the common difference.

  • the amount of even intergers from 2 to 200 is 100
  • The starting number is 2
  • The common difference is 2

[tex] \frac{100}{2} (4 + 2(99)[/tex]

[tex]50(4 + 198)[/tex]

[tex]50(202)[/tex]

[tex]10100[/tex]