Answer:
3, 6, 9, 12 is not geometric
Step-by-step explanation:
A geometric progression has a common ratio r between consecutive terms.
3, 6, 9 , 12
has a common difference of 3 between terms and is arithmetic
1, 5, 25, 125
r = 5 ÷ 1 = 25 ÷ 5 = 125 ÷ 25 = 5 ← geometric
4, 8, 16, 32
r = 8 ÷ 4 = 16 ÷ 8 = 32 ÷ 16 = 2 ← geometric
2, 6, 18, 54
r = 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3 ← geometric
(2 + a) = (a + 2) it's commutative property
(a + 2) - 7 = a + (2 - 7) it's associative property
2 - 7 = -5 it's subtraction
Answer: distributive property { a(b + c) = ab + ac }
If it can run 13 feet in one second, then multiply 13 times 3. He will run 39 feet in 3 seconds.
So let us set up the equations:
d = rt
d = 12t and plug in r = 12
so after t hours, the faster runner is 12t miles which is
for the faster runner.
d = rt
d = 8t plug in r = 8
so after t hours, the slower runner has 8t miles.
Now if you want to get the distance, simply subtract:
12t – 8t = 4t
Since we need to get the distance of ¼ mile, meaning:
12t – 8t = ¼
= 4(12t – 8t) = 4 x 1/4 -> multiply both sides by the lcd
to clear the fractions
= 48t – 32t = 1
=16t = 1
Get t by dividing both sides by 16 to isolate t.
So the answer is 1/16 which is about 0.0625.
