SmartScholar4415 SmartScholar4415
  • 05-04-2019
  • Mathematics
contestada

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

Answer Link

Otras preguntas

kim bought a poster that cost 8,95 and some colored pencils. The total cost was 21.35. How much did the colored pencils cost?
What does expenditure mean?
Did unions make wages rise?
According to the cladogram which groups of plants would have vascular tissue
Spain and Portugal (circled on the map above) are located on the __________ Peninsula, a landform that is separated from the rest of Europe by the Pyrenees. a.
What does the twelfth amendment prevent
425 is decreased to 319
Which of the following groups have lived on the continent of South America for the longest time?
Which substance is a binary acid
_________, a great orator, motivated Athenians to resist the expansion by Philip of Macedon. a. Philip II c. Alexander the Great b. Demosthenes d. Democritus