# Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.х12.34f(x) 81 72 63

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio. х
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f(x) 81 72 63 54
O Arithmetic, common difference = 9
Arithmetic, common difference = -9
Geometric, common ratio = 9
O Geometric, common ratio = -9

## This Post Has 9 Comments

1. outlaw93 says:

A

Step-by-step explanation:

2. hilton894 says:

arithmatic

3. jaidenlaine9261 says:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         ${}$  1          2         3         4

f(x)      ${}$   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.

4. lee1677 says:

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

5. JOHNDoe3443 says:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct

6. olivialaine31 says:

arthimetic 9

Step-by-step explanation:

7. spooderfaxy7813 says:

Geometric, common ratio = 3

Step-by-step explanation:

Took test

(Please give me brainiest so I can move to the next level)

8. carethegymnast8954 says:

C. Geometric, common ratio = 3

Step-by-step explanation:

Got it right

9. Virnalis1112 says:

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