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

what group of rulers attempted to reform their political, legal, and economic system
I have no clue how to do this!!!
Como se sintio gladys despues de la operacion
Find the percent of decrease from 310 to 140. Round to the nearest tenth of a percent if necessary. 121.4% 221.4% 1.2% 54.8%
Which dimensions can create more than one triangle? A. Three angles measuring 75°,45°, and 60°. B. 3 sides measuring 7, 10, 12? C. Three angles measuring 40,50,
least common denominator
I need help with this question?????
What human advancements were made from the Paleolithic Age to the Neolithic Age?
How many plague hearts can be in one map at a time state of decay 2?
if 2a^2 +3^1a - 5a^2= 9, then a-a^2=