A local grocery store stacks the soup cans in such a way that each row has 2 fewer cans than
the row below it. If there are 32 cans on the bottom row, how many total cans are on the bottom 14 rows? determine whether the problem should be solved using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your answer. DO NOT need to answer. I say arithmetic series but it may be sequence. I'm not sure.

Question

A local grocery store stacks the soup cans in such a way that each row has 2 fewer cans than 
the row below it. If there are 32 cans on the bottom row, how many total cans are on the bottom 14 rows? determine whether the problem should be solved using the formula for an arithmetic sequence, arithmetic series, geometric sequence, or geometric series. Explain your answer. DO NOT need to answer. I say arithmetic series but it may be sequence. I'm not sure.

anonymous · Answer

arithmetic sequence

anonymous · Answer

32-2(n-1)

anonymous · Answer

hold on

anonymous · Answer

ok don't hold on sorry.  i thought it wanted total number of cans in which case it would be a series but it only want bottom row.  i should learn to read better

anonymous · Answer

Can you tell me why it is a sequence and not a series?

anonymous · Answer

I believe I did

anonymous · Answer

i read "total cans" and forgot that it says "bottom row"

anonymous · Answer

"sequence" is 

$$a_1, a_2, a_3, ...$$

anonymous · Answer

first one, second one, third one, bottom row, etc

anonymous · Answer

"series" with plus signs.  
$$a_1+a_2+a_3+...$$

anonymous · Answer

so if it asked how many cans total, you would sum up a series

anonymous · Answer

So does everyone agree it is an arithmetic sequence and not a series?

anonymous · Answer

Yes

anonymous · Answer

I'm still confused....sequence or series?

anonymous · Answer

sequence like sateliite explained

anonymous · Answer

Sorry - I get it now.