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:
680 miles
Step-by-step explanation:
1,875=2.5x+175
Minus 175 each side.
1,700=2.5x
Divide both sides by 2.5
680=x
If the band travels 680 miles for $2.50 each mile, plus the flat fee of 175. The total will be 1,875.
Answer:
idk bro
Step-by-step explanation:
<span>The quadratic formula is the solution of the quadratic equation. There's other ways to solve it, but the quadratic formula the easiest/most convenient.
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Answer:
i
Step-by-step explanation:
i means imaginary because whatever you try you can't get a number which squared gets a negative number.
