Answer:
The answer is divergent ⇒ answer (b)
Step-by-step explanation:
* The series is -5 + 25 + -125 + ........
- It is a geometric series with:
- first term <em>a</em> = -5 and common ratio <em>r</em> = 25/-5 = -5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where <em>a</em> is the first term and <em>r</em> is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -5
∴ IrI = 5
∴ IrI > 1
∴ The series is divergent
I believe the answer is 45 degrees.
180 degrees - 90 degrees from the right angle.
The other two angles seem to be the same, so 90/2 = 45?
3.25*7.8= 25.35
10^3 x 10^6 = 10^9
25.35 x 10^9 = 2.53 x 10
Answer:
Option C: 4√10
Step-by-step explanation:
From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;
x/a = b/x
Applying it to this question;
Altitude is "m"
Left side measurement is 8
Right side measurement is 20
Thus;
m/8 = 20/m
Cross multiply to get;
m² = 160
m = √160
m = √(16 × 10)
m = 4√10
