Try It! 1.2.1After 55, what are the next three Fibonacci numbers?1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . .Show all of the steps you use to determine the answerThe next number that comes after 55 is 84,144,233,377,610.I came up with this answer by first finding the pattern of this sequence.For example, Ifirst added 1+1 to equal 2, then 2+3 to equal 5, and finally 5+8 to equal 13. I then see asequence in which you must add all incoming numbers to get the response for the nextnumber, and then repeat the procedure. I was able to locate the rest of the numbers inthe sequence by the pattern.35+55=8989+144=233233+377=610Try It! 1.2.2What numbers are in the sixth and seventh rows of Pascal’s triangle?The sixth row of the Pascal triangle is 21The seventh row of the Pascal triangle is 28.I figured out these two numbers from the both rows by drawing a pascal triangle andhaving a visual in order for my mind to figure out the sequence the pattern is going.Try It! 1.2.3Identify each sequence as arithmetic, geometric, or neither arithmetic nor geometric. Ifthe sequence is arithmetic, give a common difference. If it is geometric, give thecommon ratio.For each sequence, what are the next two terms?
Show all of the steps you use to determine the answer1.2, 6, 18, 54, 162, . . .The process I took in order to identify the answer was by finding the pattern that mightfit with the corresponding numbers. I started with adding different numbers but itwouldn’t fit with the incoming numbers. But then, using various techniques, I came upwith multiplying the previous number by three, resulting in an incoming number beingcorrect. For the next two terms, I reached the number 486 and 1458 and for theprocess, I multiply the answer by 3. The sequence I encounter with this number was a