| INFINITE SURDS | Ria Garg | | The purpose of my investigation is to find the general statement that represents all values of k in an infinite surd for which the expression is an integer. I was able to achieve this goal through the process of going through various infinite surds and trying to find a relationship between each sequence. In the beginning stages of my investigation I came across the sequence of ` a1= 1+1 a2= 1+1+1 a3 = 1+1+1+1 While looking at the sequence I came to the realization that there is a very obvious pattern between each n value. The answer to each n value was plugged into the next n value. For example if you look at this sequence a1= 1+1 = 1.414213562 a2= 1+1+1 = …show more content…
Also since the sequence is a square root and, the graph shows no evidence of a root value I can disregard the negative answer to the infinite surd. x=-b±b2-4ac2a X=1+1-41-121 x=1+52 Now, I would like to carry on my investigation and look at another sequence of infinite surds where the first term of the sequence is 2+2. In the beginning steps of my investigation I came up with the formula an+1 = 1+an, which I will be using to further my investigation and find the first 10 terms of my new sequence. A1 = 2+2 a6 = 2+a5 = 1.847759065 = 1.999962351 a2 = 2+a1 a7 = 2+a6 = 1.961570561 = 1.999990588 a3 = 2+a2 a8 = 2+a7 = 1.990369453 = 1.999997647 a4 = 2+a3 a9 = 2+a8 = 1.997590912 = 1.999999412 a5 = 2+a4 a10 = 2+a9 = 1.999849404 = 1.999999853 Repeating the same process I completed with the previous sequence of infinite surds, for the next step I will consider the value of an – an+1
Overflow occurs when the two numbers of similar signs are added together and a result with an opposite sign is produced.
The square root of 16 is 4 and 4 is an integer, rational number, whole number, natural numbers.
Create 2 formulas, one that will calculate the last number in terms of the first number and a constant increase in rate as well as the total amount of numbers. The second formula will add ass of the resulting numbers from the first formula together after the last number is calculated.
1, 3, 5, 7, 9, 11, … (The common difference is 2. (Bluman, A. G. 2500, page 221)
One important reason that Howie and Laura's excursion was not justifiable and was foolish and they should be punished for their actions is that Howie and Laura face trouble everywhere they go. When Howie and Laura arrive at the Dining Hall, Howie begins to be angered by Pardo."The boy kicked him hard in the side of the knee. Pardoe made a loud, ugly sound and fell down on the floor." (Page 85). What this means is Howie and Laura face trouble when Howie ended up in a fight with Pardoe. Howie and Laura also end up making a commotion in the Dining Hall. The other side of the argument is Howie and Laura have been helped by many people along their journey. But the argument that Howie and Laura face trouble everywhere they go is still true. The key
Three of your friends, Anna, Blake, and Christine, run to you to settle a dispute. They were simplifying a radical expression into an exponential expression, but they reached different answers. Wisely, you decide to look at their work to see if you can spot the source of confusion.
| 11. Is the sequence 5, 9, 15, ... an arithmetic sequence? Explain. Type your answer below.
) Determine whether each of these set is finite, countably infinite, or uncountable. Justify your answer
In the novel, Power of One by Bryce Courtenay, the protagonist, Peekay, rejects irrationality, and embraces rationality. When Peekay meets his mother at the train station instead of Nanny, he finds out about his mother’s new religious beliefs and rejects joining her new religion and becoming baptised. However, Peekay embraces rationality when he returns from his first boxing competition and the other inmates “sensed” that Peekay had won; as well as when Peekay is known as the “Tadpole Angel” and a God by the other inmates. Thus, Peekay only embraces irrationality when it benefits him rather his mother’s conventional religion that harms him, ultimately re-enforcing Doc’s advice to Peekay that “It is irrational for a man to be too logical.”
Radical formulas are used in many fields of the real world; some examples are in finance, medicine, engineering, and physics. These are just a few. In the finance department they use it to find the interest, depreciation and compound interests. In medicine it can be used to calculate the Body Surface of an adult (BSA), in engineering it can be used to measure voltage. These formulas are vital and important to the people working in these fields of work. Our week 3 assignment requires that we find the capsizing screening value for the Tartan 4100, solve the formula for variable of d, and find
Lansing Community College has many things that draw me towards them, but one major thing that draws me towards them is their tuition costs. LCC's tuition is a staggering $3000 which compared to many other colleges is half to even a quarter of the cost. Not to mention the many scholarships that end up totaling to a massive $1.3 million a year which is awarded to around 1000
Over the course of human events, men and women of all ages fought and worked relentlessly to better their lives and their families' lives as well. Despite the arduous efforts, each and every one of those people ended up or will end up exactly the same: buried six feet under the ground. Life and death are the largest eventualities to happen to humans as a whole, yet most sentient beings, particularly humans, are afraid of death, due mainly to the natural fear of the unknown. "Numbers" by Mary Cornish seems to beg the question of what does it mean to truly be alive. Being alive is to expand horizons and to feel what life has to offer or simply to be happy, but in layman's terms, life is more than just being born, surviving and finally dying.
1, 2, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 18, 21, 19, 26
3 4 167 0.075 1,060 0.48 204 241 — 340 213 1.0 0.3 59.2 10.7 0.20 63.5 1,124 521 22.5 3,293 98,100 624 16 22 5 19 — 974 944 11,511 48
4 105 114 37 29 22 23 55 51 41 25 40 77 92 108 95 82 67 115 141 161 165 146 174 215 218 152 121 89 76 135 281 320 281 299 223 104