The first term, a, is 2. The common ratio, r, is 4. Thus,
a_(n+1) = 2(4)^(n).
Check: What's the first term? Let n=1. Then we get 2(4)^1, or 8. Is that correct? No.
Try this instead:
a_(n) = a_0*4^(n-1). Is this correct? Seeking the first term (n=1), does this formula produce 2? 2*4^0 = 2*1 = 2. YES.
The desired explicit formula is a_(n) = a_0*4^(n-1), where n begins at 1.
Answer:
i believe it is (2,1)
Step-by-step explanation:
Gopherus have been clocked at rates 0.13 to 0.30 mph (0.05 to 0.13 m/s
Answer: The decimal is 0.583
Step-by-step explanation:
Answer:
a) 0.2778
b) 0.3611
c) 0.1389
d) 0.0833
Step-by-step explanation:
We have a total of 5 + 3 + 1 = 9 balls
a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9
Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2
Both yellows: P = P1 * P2 = 5/18 = 0.2778
b) Both blues:
P1 = 3/9 = 1/3
P2 = 2/8 = 1/4
P = P1 * P2 = 1/12 = 0.0833
Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611
c) First yellow: P1 = 5/9
Second red: P2 = 1/8
Pa = P1 * P2 = 5/72
or
First red: P3 = 1/9
Second yellow: P4 = 5/8
Pb = P3 * P4 = 5/72
P = Pa + Pb = 10/72 = 5/36 = 0.1389
d) First blue: P1 = 3/9 = 1/3
Second red: P2 = 1/8
Pa = P1 * P2 = 1/24
or
First red: P3 = 1/9
Second blue: P4 = 3/8
Pb = P3 * P4 = 1/24
P = Pa + Pb = 2/24 = 1/12 = 0.0833
