Answe7
Step-by-step explanation:\
Answer:
- an = 2·(4/5)^(n-1)
- 2, 8/5, 32/25, 128/125
Step-by-step explanation:
The sum of an infinite geometric series is ...
S = a1/(1 -r)
where r is the common ratio. The sum will only exist if |r| < 1.
The problem statement tells us S = 10 and a1 = 2, so we have ...
10 = 2/(1 -r)
r = 1 -2/10 = 4/5
So the n-th term of the series is ...
an = a1·r^(n-1)
an = 2·(4/5)^(n-1)
For values of n = 1 to 4, the terms are ...
2, 8/5, 32/25, 128/125
Answer:a=-4,000
Step-by-step explanation:
Answer:
Height = 5
Step-by-step explanation:
To compare their speed (rate), we need to have the same time or same distance to use as a reference.
Matt ran 50 meters per 10 seconds. Molly ran 30 meters per 5 seconds. If she ran for 5 more seconds, she would have gone 30 more meters, for 30 meters per 10 seconds. Thus, Molly went faster.
Alternately, you could calculate their speeds in meters per (one) second and compare. 50 meters per 10 seconds is 5 meters per second, and 30 meters per 5 seconds is 6 meters per second.
