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 determines the color of an transperent object?
Solve 12-5 = by using a related addition fact show how you solved the problem
I'm doing a native American presentation (Mandan tribe), what common clothes do they wear? And...were they peaceful, or harmful towards other tribes?
2sinx / cos3x = tan3x - tanx -verify the identity-
polar form of the equation x = -1 = : r cos ∅ = 1 r sin ∅ = 1 r cos ∅ = -1 r sin ∅ = -1​
Solve e^x = e^2x + 5 A) x = -5 B) x = 5 C) x = 10 D) X = -2
Select True or False to correctly classify each inequality. Inequality True False 2.9>2.9 True – 2.9>2.9 False – 2.9>2.9 4.5≥4.5 True – 4.5≥4.5 False
Substance that contains the original remains of ancient insects trapped inside
////////////////////////////////
simplify the expression, 11.9b - 10 + 3.3b - 7 - 11.6d. pls i need help.​