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dellacer
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How many terms are there in the set of consecutive integers from -18 29 Mar 2011, 08:23
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How many terms are there in the set of consecutive integers from -18 to 33, inclusive?

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I'm practicing from Manhattan - The Number Properties Guide and this question that seemed quite easy kinda confused me.

The OA is 52, which would seem normal considering the formula 30-(-18)+1.
However, isn't it in this case +2, since the zero is also in between these two integers?


Cheers and thx!
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How many terms are there in the set of consecutive integers from -18 29 Mar 2011, 08:35
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dellacer
Hey guys,

So, this is my first topic and probably not the last :-D

I'm practicing from Manhattan - The Number Properties Guide and this question that seemed quite easy kinda confused me.
So:

How many terms are there in the set of consecutive integers from -18 to 33, inclusive?

The OA is 52, which would seem normal considering the formula 30-(-18)+1.
However, isn't it in this case +2, since the zero is also in between these two integers?
No

Cheers and thx!
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Let's see what if we get rid of 0;

How many consecutive numbers are between 1 and 33, inclusive
n = 33-1+1=33

How many consecutive numbers are between -1 and -18, inclusive
n = -1-(-18)+1 = 18

33+18=51

And 0, which we didn't consider before.
51+1=52

Hence, in the formula of consecutive integers' count, 0 is taken care of.
-18,33
n = 33-(-18)+1=52

If I ever get a doubt; I check it with small numbers
How many numbers between -3 and +2.
-3,-2,-1,0,1,2 = 6

According to the formula;
+2-(-3)+1 = 6 (No need to add 2)
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dellacer
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How many terms are there in the set of consecutive integers from -18 29 Mar 2011, 08:47
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Yeah, this is a pretty reasonable answer.

Thx a lot!
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KarishmaB
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How many terms are there in the set of consecutive integers from -18 29 Mar 2011, 18:53
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dellacer
Hey guys,

So, this is my first topic and probably not the last :-D

I'm practicing from Manhattan - The Number Properties Guide and this question that seemed quite easy kinda confused me.
So:

How many terms are there in the set of consecutive integers from -18 to 33, inclusive?

The OA is 52, which would seem normal considering the formula 30-(-18)+1.
However, isn't it in this case +2, since the zero is also in between these two integers?


Cheers and thx!
Show more

If the question were a little different 'terms from 1 to 33'
Answer would have been 33 - 1 + 1 = 33
What about 'terms from 0 to 33'?
Answer: 33 - 0 + 1 = 34 (1 more than before which was expected)
What about 'terms from -1 to 33'?
Answer: 33 - (-1) + 1 = 35
Again 1 even more which was expected.

So 0 is like any other number. It gets accounted for in the same way as any other number does. (In these questions. In some questions (e.g. in algebra), 0 gets a special treatment often)
I have given a short description of why the formula has a '+1' in the subtraction section here:
https://gmatquant.blogspot.com/2010/11/four-prongs.html
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How many terms are there in the set of consecutive integers from -18 16 Apr 2020, 10:24
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no of terms from -1 to 1 = (-1,0,1) = 3 = 1- (-1) +1
no of terms from -2 to 2 = (-2,-1,0,1,2) = 5 = 2- (-2) +1
so, no of terms from -18 to 33 = 33- (-18) +1 = 52
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