Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
4 times table: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5 times table: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6 times table: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
7 times table: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70
10 times table: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Answer:
Step-by-step explanation:
Hope this helps :D
Answer:
1436.8 cm^3
Step-by-step explanation:
You just plug it in:
r = 7 since it is the radius
Volume = (4 / 3) pi x r^3
Volume = (4 / 3) pi x (7)^3
Volume = 1436.75 = 1436.8 cm^3 (nearest tenth)
You can give random values such as <span> (1,2.5) (2,9) (-1,2.5) (-2,9) and it is a parabola. You'll see that the range is (-infinte, 0] and the domain is (-infinit, infinite). </span>I hope that this is the answer that you were looking for and it has helped you.