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 are the functions of receptors in our body? Think of a situation where receptors do not work properly. What problems are likely to arise?
Mini-Project: Cents and the Central Limit Theorem 1. Collect a sample of at least 50 pennies by setting aside all the pennies you receive in change for severa
in the number 13,407.036 there are two 3's. Explain how the values of the 3's are related.
what's another word for over thinking?
what's another word for over thinking?
How do you?...Multiply out and simplify 10(2x-1)-20x?
The function of the eardrum in the middle ear is to
what is a high structure part of a church which has 5 letters
you have a standard deck of 52 cards. you pick one card and then, with out putting the first card back, you pick a second card. what is the probability that bot
What is the amplitude of y=1/2 sin2x