Determine whether each sequence is arithmetic or geometric. Find the next three terms.
4, 8, –16, 32, . . .
A.arithmetic, 64, 128, 256
B.geometric, –64, 128, –256
C.geometric, –48, 64, –80
.DThe sequence is neither geometric nor arithmetic.
I think it's B...?
81, 27, 9, 3, . . .
A.arithmetic, 0, –3, –6
B.geometic, 0, –3, –6
C.geometric, 1,1/3 , 1/9
D.The sequence is neither geometric nor arithmetic.
I know they are dividing by 3...but I am not sure if this is A or D...?
If for your given terms, the first term is -4
then it would be geometric.
Probably just a typo, if so
then r = -2 , and your choice of B would be correct
for the second, it is geometric , and yes, they are dividing by 3, so r = 1/3
let's keep going
81 27 9 3 1 1/3 1/9
so it is C
Thank you Reiny and it was a typo....thanks..
shes right both are correct just got a 100
To determine whether a sequence is arithmetic or geometric, we need to examine the pattern of the terms.
For the first sequence, 4, 8, -16, 32, ...
We can see that each term is obtained by multiplying the previous term by -2. Therefore, this sequence is geometric.
To find the next three terms, we can continue the pattern and multiply the previous term by -2 each time:
32 * -2 = -64
-64 * -2 = 128
128 * -2 = -256
Therefore, the correct answer is option B: geometric, -64, 128, -256.
For the second sequence, 81, 27, 9, 3, ...
We can observe that each term is obtained by dividing the previous term by 3. Therefore, this sequence is geometric as well.
To find the next three terms, we can continue the pattern and divide the previous term by 3 each time:
3 / 3 = 1
1 / 3 = 1/3
1/3 / 3 = 1/9
Therefore, the correct answer is option C: geometric, 1, 1/3, 1/9.