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

What is the probability of someone correctly guessing your Social Security number? (Assume all digits 0-9 are available for use)a
If f(x) is 4x-3 what is (f^-1of) (10)
If f(x) is 4x-3 what is (f^-1of) (10)
What are the characteristics of mass culture?
What are the characteristics of mass culture?
An object with mass 60 kg moved in outer space. When it was at location < 13, -19, -3 > its speed was 3.5 m/s. A single constant force < 220, 320, -120
An ice cube is dropped into boiling water. How will heat flow between the water and the ice cube?
If 52 x equals 7800 y what does 1 x equal? What is the maths equation?
What was the South’s greatest concern when California applied for statehood?
The Commissariat established by Frederick William in Prussia became A. the overseer of the army. B. an agency of civil government. C. both a military and civil