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>
Start with 1.
1st number = 1
2nd number = 1 * 4 + 3 = 7
3rd number = 7 * 4 + 3 = 31
4th = 31 * 4 + 3 = 127
5th = 127 * 4 + 3 = 511
Which means the 6th = 511 * 4 + 3, which is 2047.
Answer:
1/2, 1/3, 1/4, 1/5, 1/6
Step-by-step explanation:
You first find the average of the first two test scores. When you find the average, you add the two numbers together and then divide by two which gives you 89. You then plug in different scores above the number 89 and find the average of those (89 and x) to see which gives you an average of 92. It’s mostly a guess and check type of problem.
