2.
Identify the sequence as arithmetic, geometric, or neither.
1.6, 0.8, 0.4, 0.2, . . . (1 point)
arithmetic
geometric
neither
3.
5 • 3^n (1 point)
15, 30, 45, 60
5, 15, 45, 135
0, 15, 45, 135
15, 45, 135, 405
4.
Use the function rule ƒ(x) = n • |–1|^n. Find the output ƒ(2). (1 point)
4
3
–2
2
My answers:
2. geometric
3. 5, 15, 45, 135
4. 4
ok, this is shoking but.....
#2 correct
#3 ITS D.
#4 ITS D.
i go to the same online school and these were the answers.....
i got 3 and 4 wrong but-_- i digress
5,-15,45,-135 is it arithmetic , geometric or neither ?
You are correct:
2. The sequence 1.6, 0.8, 0.4, 0.2 is a geometric sequence because each term is half the value of the previous term.
3. The sequence generated by the function 5 • 3^n is 5, 15, 45, 135.
4. Using the function rule ƒ(x) = n • |–1|^n, we can find ƒ(2) by substituting x=2 into the function. So ƒ(2) = 2 • |–1|^2 = 4.
To determine whether a sequence is arithmetic, geometric, or neither, you need to check if the ratio between consecutive terms is constant or if the difference between consecutive terms is constant.
1. For the sequence 1.6, 0.8, 0.4, 0.2, ..., the ratio between consecutive terms is 0.5, which is constant. Therefore, this sequence is geometric.
2. For the sequence 5 • 3^n, where n represents the position in the sequence, the terms are 5, 15, 45, 135, .... This is a geometric sequence because each term is obtained by multiplying the previous term by 3.
3. To find the output of the function ƒ(x) = n • |–1|^n when x = 2, you substitute 2 into the function: ƒ(2) = 2 • |–1|^2 = 2 • 1 = 2. Therefore, the output is 2.