Saturday

September 20, 2014

September 20, 2014

Posted by **decker** on Wednesday, January 21, 2009 at 10:00am.

- question -
**bobpursley**, Wednesday, January 21, 2009 at 10:06amWouldn't the last person get on at the 66th station?

- question -
**Reiny**, Wednesday, January 21, 2009 at 10:15amthe way you worded the question it simply becomes

1+1+1+1+... = 66

clearly 66 ones are needed, so after 66 stations the bus is full

if you meant 1st station one person gets one, on the 2nd station two people get on, on the third 3 people get on, etc

then it becomes a sequence/series type of question and you would have

1+2+3+4+... = 66

here a=1

d=1 and n is unknown but S(n) = 66

S(n) = n/2[2a + d(n-1)]

66 = n/2[2 + 1(n-1)]

132 = n[1+n]

n^2 + n - 132 = 0

(n+12)(n-11) = 0

n = -12 or n = 11

we need the positive integer solution which is 11

test: S(11) = 11/2[2 + 10] = 66

**Answer this Question**

**Related Questions**

English - In the book Dr. Dolittle is it written in 1st person, 2nd person, or ...

physics - A train starts from station A at 1pm and reaches station B at 3 pm, ...

algebra help please - A bus leaves a station at 1p.m. traveling west at an ...

science - A person's body is thronw outward as a car rounds a curve on the ...

math - 6 runners run in a 500 yard dash. Prizes are awarded for 1st, 2nd, and ...

physics - A non stop bus goes from one station to another at a speed of 54 km/h...

physics - An automobile moving at a constant velocity of 15 m/s passes a ...

Physics - A team is chosen to design an orbiting space station that is shaped ...

math - Two friends decide to cycle to a picnic spot the first person cycles 5 ...

Physics - Two People who weigh the same climb a flight of stairs. The 1st person...