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)
The answers should be 1, 1, 0, 0
Answer:
x>-5
Step-by-step explanation:
-5(x+7)<-10
divide by -5 (and because we divided by a negative number swap the inequality sign)
x+7>2
x> -5
I got 25/21 or 1 4/21, but there’s a possibility I could’ve made a mistake in my math so you should double check it just in case.
Answer:
F=50
Step-by-step explanation:
F=5*10=50
