Answer:
no
Step-by-step explanation:
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
Answer:
a) a
b) ab
e) bbbbb
Step-by-step explanation:
We are given the following in the question:
a) a
It is given that 
b) ab
Thus, ab belongs to S.
c) aba
This does not belong to S because we cannot find x for which xb belongs to S.
d) aaab
This does not belong to S because we cannot find x for which xb belongs to S.
e) bbbbb
Thus, bbbbb belongs to S.
Answer:
X=7
Step-by-step explanation:
10+4x=5(x-6)+33
1. Distribute the 5 to both the x and the 6
10+4x=5x-30+33
2. Subtract 4x from 5x ( should be left with 1x but just write x)
10=x-30+33
3. add 30 to both sides (whole number on the left, x on the right)
40=x+33
4. Subtract 33 on both sides
7=x (flip it around)
x=7
