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

Rico is making4 batches of mexican rice. each batch needs 2/3cup of corn. He only has a1/3-cup measure.How manytimes must Rico measure 1/3cup of corn to have en
Which of the following is formed at a collision zone?Continental rift valleyVolcanic island chainMountain rangeDeep-ocean trench
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6
The gases in the air attracted to earth by gravity form layers called the ____
How did the depression affect women and children?
What is the main religion of Latin america
State two ways in which a single-celled organism, such as amoeba, and a human body are alike?
Which is the same as 0.08? A) 80% B) 80/100 C) 8% D) 0.8
There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9? 3 5
What is a series of events that cells go through as they grow and divide