SmartScholar4415 SmartScholar4415
  • 05-04-2019
  • Mathematics
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5. Evaluate the series 50 + 10 + 2 + . . . 62 The series diverges; it does not have a sum. 62.5

Respuesta :

Nihha Nihha
  • 05-04-2019

Answer:

62.5

Step-by-step explanation:

By dividing 50 by 10 and 10 by 2 we can find that r, or the common ratio is 1/5, meaning that this series converges, so it is solvable. The formula for a convergent series is [tex]\frac{a_{1}}{1-r}[/tex]. By plugging in 1/5 for r and 50 for  [tex]a_{1}[/tex] we can find that the sum of this infinite series is 62.5

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