Study the graphs of the infinite sequences below. Answer questions 4 through 11
ID: 3116074 • Letter: S
Question
Study the graphs of the infinite sequences below. Answer questions 4 through 11 by circling the letters of all graphs, if any, for which the statement is true. There can be more than one answer! (This question has been answered a couple of times on chegg but they are all answered differently which scares me so could you please verify and make sure that your answers are correct, thank you!)
4. The sequence is arithmetic. 5. The sequence is geometric. 6. The sequence is the Fibonacci sequence. A BCD A B CD A BCD The sequence sums to a finite number. 8. The domain of the sequence is the set of A BCD non-negative integers. 9. Sequence(s) where one quantity changes at a A BCD constant rate per interval relative to another quantity. 10. Sequence(s) where one quantity changes at a constant percentage rate per interval relative to another quantity 11. One possible definition of the sequence is: A BCD a" = a"-' + (n-2); ais|Explanation / Answer
4) airthmetic sequence: an arithematic sequence is a sequence of numbers such that the difference between the consecutive numbers is a constant.
here in the graph A we are having the constant difference between the y coordinates.
5)Geometric sequence: a sequence of numbers where each term of after the first is found by multiplying the previous one by a fixed non-zero number.
here in the graphs B,D the ratio of x coordinates and y coordinates is same.
6)Fibonacci series: a sequence of numbers where the second term is the sum of two previous terms. i.e., the series will be 1,1,2,3,5,8.....
here the graph B is the fibonacci series.
7)the sequence sums to a finite number: A,B,C,D graphs.
8)graphs A,D contains domains of non-negative integers(see the values of x)
9)Graphs A,C here the values of x coordinates are constantly changing.
10)Graphs A,B,C,D.
11)by substituting the values for n from 2 we will get the series as 1,1,2,4,.....
so the graph will be D.