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)
Answer:
ok
Step-by-step explanation:
Answer:
20,800
Step-by-step explanation:
As you can see below, in
red is <span>g(x) = (x + 1)^3 and in
blue is f(x)=x^3. Adding 1 to x
moves the graph to the left by 1. Hope this was the answer you were looking for and I hope you have a great day!
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