Geometric sequences are mostly found in Book IX of Elements by Euclid in 300 B.C. Euclid of Alexandria, a Greek mathematician also considered the "Father of Geometry" was the main contributor of this theory. Geometric sequences and series are one of the easiest examples of infinite series with finite sums. Geometric sequences and series have played an important role in the early development of calculus, and have continued to be a main case of study in convergence of series. Geometric sequences and series are used a lot in mathematics, and they are very important in physics, engineering, biology, economics, computer science, queuing theory, and finance.<span> It was included in Euclid's book </span>Elements<span> that was part of a composition of other math theories for people that became very popular because it was the first collection that showed alot of the main math theories together featured simply.</span>
Answer:
I believe it would be 16
Step-by-step explanation:
8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance
Final answer: Her allowance would be 16 dollars
The length is 7 and the width is 3
Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:

Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as

Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:

Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 

Hence, the decay factor is (1-0.05)