Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
11/29 i believe. Cuz you add them all together and get 29 and then red and green added together is 11
Well, there are 0.25 quarts in a cup so if Krystal makes 18 cups of soup, she can serve 72 guests! because,
0.25 divided by 18 = 72! :)
X + 2 < -4
x < -4 -2
•x < -6
Y=2x
so what you do is sub 2x for y in the top equation
x^2+(2x)^2=5
x^2+4x^2=5
5x^2=5
divide both sides by 5
x^2=1
sqrt both sides
x=1 or -1
sub back
y=2x
y=2(-1)
y=-2
y=2(1)
y=2
the solutions are (1,2) and (-1,-2)