mel0issenwom9annshei mel0issenwom9annshei
  • 03-04-2017
  • Mathematics
contestada

What is the sum of the arithmetic series below?
-100 + -95 + -90 + -85 + ... + -5 + 0 + 5 + ... + 85 + 90 + 95 + 100

Respuesta :

ghanami
ghanami ghanami
  • 03-04-2017
hello : 
the common ratio is r = -95-(-100)=5
the general terme is : un= u1+(n-1)r
un = -100 +(n-1)(5)
un =-100 +5n-5
un = 5n-105
The last term is : 100
un =100
5n-105 = 100
5n =205
n = 41 (Number of terms)
The last term is : u 41
the sum is : S= (41/2)(-100+100)=0
Answer Link

Otras preguntas

Li’s brother used the work shown to determine that he must grow at most 6 inches to be able to ride the roller coaster. Is this correct? Explain.
How old do you have to be to join the police academy?
how did scientist respond to copernicus's discovery?
does salt dissolve easily in water
How do I find the length of AB?
Why would the Sun move even though its velocity is set at zero when a planet revolves around it?
In a previous exercise we formulated a model for learning in the form of the differential equation dp dt = k(m − p) where p(t) measures the performance of someo
What is the recommended time of a cool-down period after exercising?
What was true about president hoover political platform in the 1932 presidential election apex?
which statement is an example of a metaphor? A. Her voice was like a song B. He is a good person. C. Her eyes were like ice. D. He has a heart of gold.