The basketball team scored 12 points the first game and 40 points the eighth game of the season. How many points will they earn with this pattern on the 14th game of the season?

Question

anonymous · Answer

I'm not sure that defines a pattern?

anonymous · Answer

game 1 = 12
game 8 = a1 + d7
40 = 12 + d7
28 = d7 
d = 4 
game 14 = a1 + d*13
game 14 = 12 + 4*13
game 14 = 12 + 52 
game 14 = 64

anonymous · Answer

between game 1 and 8, they increased 28 points. assuming an equal increase for each of the 7 games thru game 8, then they increased 28/7=4 pts per game. So we start with 12 and and for each numbered game (2nd, 3rd, etc) we add 4*(n-1). So the formula is

12+4(n-1).  So the answer is 64

anonymous · Answer

I think that the quesiton given is incomplete. Two numbers don't define a pattern unless given some other information. You could come up with any crazy number pattern that includes those two in the right place...

anonymous · Answer

Scary,

you are right. That is why I made the assumption that I did.

anonymous · Answer

I think the pattern is this: in odd games they score 12 points and in even games they score 40 points. So in the 14th game they'll score 40 points since it's even.

coconut · Answer

my options are 60
62
64
66

anonymous · Answer

Go with 64. The assumption of equal increase seems to have been a good one.

anonymous · Answer

64, then