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:
Jane is 52 7/40 inches tall
Step-by-step explanation:
What you do is you subtract 1 3/8 from 54 3/4 which gives you Carl's height, which is 53 3/8.
Lastly, you subtract 1 1/5 from 53 3/8 which is 52 7/40.
<span>1.6m − 4.8 = −1.6m
<u>- 1.6m -1.6m
</u> -4.8 = -3.2m
<u>
</u>divide both sides by -3.2
m = 1.5</span>
Answer:
35 degrees
Step-by-step explanation:
add all the one degrees together