What is the sum of the arithmetic series below?

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

Option A, 0

Step-by-step explanation:

-105 +-100 + -95 + -90 +-85 + ... + -5 + 0 + 5+ ... + 85+ 90 +95 + 100 + 105

The answer is 0 because there is the same amount of negative numbers as there is positive. Therefore, the answer is Option A, 0

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2 years ago

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Answer:

$\displaystyle 36\:units$

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100$