Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
Answer:
well if it is a negative you now its a no but no negative then it is a yes
Step-by-step explanation:
1. 3,2=yes
2. -6-6=no
and so on
Answer:
y = (√3)/2
Step-by-step explanation:
The unit circle has equation ...
x^2 +y^2 = 1
For x = 1/2, the value of y can be found to be ...
(1/2)^2 +y^2 = 1
y^2 = 1 - 1/4 = 3/4 . . . . . subtract 1/4
y = √(3/4) . . . . . . . . . . take the square root (y > 0 here)
y = (√3)/2
Answer:
.8 inches for every month
Step-by-step explanation:
First subtract: 
Next divide by ten, 
V= 1/3(b)(w)(h)
V ≈ 66.7 ft^3
12.5•16 = 66.67