Could someone please help me with this question?
2 answers:
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Answer:
a_n = 2.2 + 0.6 n
a_50 = 32.2
Step-by-step explanation:
What's the common difference of this series?
Common difference = .
Expression for the nth term:
n = 50 for the fiftieth term. Therefore
.
L = hours for the slower pump to fill the pool
L - 5 = hours for the high power pump, since it can do it in 5 hours less.
since the slower pump takes L hours, the faster pump takes then L - 5 hours.
we know both pumps together take 3 hours to do <u>half of the pool</u>, so that means that to fill up <u>the whole pool it takes them 6 hours</u>.
since the slower pump can do it alone in L hours, in 1 hour it has done 1/L of the whole thing.
likewise, since the faster pump can do it in L-5 hours, in 1 hour alone it has done 1/(L-5) of the whole job.
now, we can't use L = 2, because, the whole job by both is done in 6 hours, there's no way the slower pump can do it in less than that, so L = 15.
now if L = 15, then L - 5 = 10.