Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: 
is a geometric sequence of first term (
) "1" and common ratio (r) " 
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one: 
is a geometric sequence of first term "1", and common ratio (r) " 
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
I am using the Descartes Rule of Signs.
f(x) = 3x^4 - 5x³ - x² - 8x + 4
positive zero: 2 or 0.
x = + - - +
There are 2 sign changes : + to - ; - to +.
negative zero: 1.
f(-x) = 3(-x^4) - 5(-x³) - (-x²) - 8(-x) + 4
f(-x) = 3x^4 + 5x³ - x² + 8x + 4
-x = + + - + +
there is only 1 change of sign. - to +.
There are 2 or 0 positive solutions and 1 negative solution.
Answer:
-5,-8,-11,-14,-17
Step-by-step explanation:
-3n -2
n=1 -3(1) -2 = -3-2 = -5
n=2 -3(2) -2 = -6-2 = -8
n=3 -3(3) -2 = -9-2 = -11
n=4 -3(4) -2 = -12-2 = -14
n=5 -3(5) -2 = -15-2 = -17
Answer: x>10
Step-by-step explanation:
I don't know what this is asking but the inequality x greater than 10 is simplified as x>10
Answer:
because they were made of limestone.
Step-by-step explanation:
Over decades of exposure to acid rain, the details of a statue can be lost.
