Answer:
I think 25 is this is right
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:
221 mm
Step-by-step explanation:
The dimension 74 mm is presumed to mean that the actual length could be anywhere in the interval [73.5, 74.5). So, the minimum perimeter is ...
3 × 73.5 = 220.5 ≈ 221 . . . millimeters
_____
The perimeter of an equilateral triangle is 3 times the side length, since all three sides of the triangle are the same length.
Answer:
7 and 7
Step-by-step explanation:
1*13=13
2*12=24
3*11=33
4*10=40
5*9=45
6*8=48
7*7=49: This is the peak