Answer:
The sum of the first 51 terms of the sequence is 6018
Step-by-step explanation:
AP: −282,−266,−250,−234,...
First term = a = -282
Common difference = d =
Common difference = d = -266-(-282)=-250-(-266)=16
Formula of sum of first n terms =
Substitute n = 51
So,
Hence the sum of the first 51 terms of the sequence is 6018
Answer:
10 hours.
Step-by-step explanation:
Two bicyclists are 200 miles apart when they start racing towards one another.
Their speeds are 12 mph and 6 mph respectively.
Distance = speed × time
Let the time taken by bicyclists = t
We have to calculate the time when they 20 miles apart this means they have covered the distance of 200 - 20 = 180 miles
t(12mph) + t(6mph) = 180
18t = 180
t =
t = 10 hours
It will take 10 hours to both the bicyclists before they are 20 miles apart.