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in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.
D = distance of marathon = 42.195 km = 42195 m
tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec
Vw = speed of winner
speed of winner is given as
Vw = D /tw = 42195/8220
ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s
Vs = speed of second place
speed of second place is given as
Vs = D /ts = 42195/8774
distance of the second place holder from the finish line is given as
D' = Vs (ts - tw)
D' = (42195/8774 )(8774 - 8220)
D' = 2664.24 m
D'= 2.664 km
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The nth term is given by 2ⁿ-1.
The series looks like, 1, 3, 7, 15, 31, 63, 127, ...
Answer:
n = 60
Step-by-step explanation:
<em>Terms which are divisible by 9 between 60 and 600.
</em>
<em>
63, 72, 81, ........ 594
</em>
<em>
n = [ (l - a)/d ] + 1
</em>
<em>
n = [(594 - 63)/9] + 1
</em>
<em>
n = (531/9) + 1
</em>
<em>
n = 59 + 1
</em>
<em>
n = 60</em>
