Excluding -102 and 104, the sum is 205 (-101 through 101 total 0). Including -102 and 104, the sum is 207 (-102 through 102 total 0).
a = -102
d = 1
104 = -102+n-1
n = 207
Sum = (104-102)*207/2
= 207
Most of the terms will cancel to zero.
1 and -1 cancel
2 and -2 cancel
3 and -3 cancel
etc.
I'm going to assume your range is *inclusive* of the endpoints (-102 through104). So the only non-zero numbers left unpaired are:
103 and 104.
Answer:
207
including - 102 and 104 ...(103)(104) is the result...-n + n = 0
The ones from -102 to +102 will add up to zero so that should save a lot of time.
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Answers & Comments
Excluding -102 and 104, the sum is 205 (-101 through 101 total 0). Including -102 and 104, the sum is 207 (-102 through 102 total 0).
a = -102
d = 1
104 = -102+n-1
n = 207
Sum = (104-102)*207/2
= 207
Most of the terms will cancel to zero.
1 and -1 cancel
2 and -2 cancel
3 and -3 cancel
etc.
I'm going to assume your range is *inclusive* of the endpoints (-102 through104). So the only non-zero numbers left unpaired are:
103 and 104.
Answer:
207
including - 102 and 104 ...(103)(104) is the result...-n + n = 0
The ones from -102 to +102 will add up to zero so that should save a lot of time.