Determine if the sequence is arithmetic or geometric, and find the common difference or ratio. х
1
2.
3
4
f(x) 81 72 63 54
O Arithmetic, common difference = 9
Arithmetic, common difference = -9
Geometric, common ratio = 9
O Geometric, common ratio = -9
A
Step-by-step explanation:
arithmatic
The correct option is;
Arithmetic, common difference = -10
Step-by-step explanation:
The x terms given of the sequence are;
x [tex]{}[/tex] 1 2 3 4
f(x) [tex]{}[/tex] 5 -5 -15 -25
For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r
We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression
For ab arithmetic progression, we have;
(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference
We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10
Therefore, the sequence is an arithmetic sequence, with common difference = -10.
The sequence is arithmetic with a common difference of -10
Step-by-step explanation:
From the question, we want to determine if the sequence is arithmetic or geometric
From the question
f(1) = 5
f(2) = -5
f(3) = -15
Mathematically for the common difference;
f(3) - f(2) = f(2) - f(1)
Since;
-15-(-5) = -5-5
-10 = -10
Since the common difference here is same , then the sequence is arithmetic with a common difference of -10
option 1 A)arithmetic,common difference= -10
Step-by-step explanation:
i took the test and got the answer correct
arthimetic 9
Step-by-step explanation:
Geometric, common ratio = 3
Step-by-step explanation:
Took test
(Please give me brainiest so I can move to the next level)
C. Geometric, common ratio = 3
Step-by-step explanation:
Got it right
The sequence is arithmetic progression and the common difference is -5
Step-by-step explanation:
AP = a + (n -1)d
a = first number = 15
d = common difference
Using the second term
10 = 15 + (2-1) d
10 = 15 + (1)d
10 = 15 + d
10-15 = d
d = -5
Using the third term
5 = 15 + (3-1) d
5 = 15 + (2)d
5 = 15 + 2d
5-15 = 2d
-10 = 2d
-10/2 = d
-5 = d
For the Geometric Progression,
GP = ar^n-1
a = first number
r = common ratio
Using the second number of the series
10 = 15 × r^2-1
10/15 = r^1
-2/3 = r
Using the second number of the series
5 = 15 × r^3-1
5/15 = r^2
-1/3 = r^2
r = square root of -1/3
Conclusion: From the above calculations, the arithmetic progression has a constant common difference of -5, and the geometric progression does not have a constant common ratio. Hence, the sequence is an arithmetic one