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# Help with proof watch

1. I've been struggling with the following question and have no idea how to prove it, a full explanation would be helpful:

Prove that the sum of all the integers between m and n inclusive (n>m) is 0.5(m+n)(n-m+1).
2. (Original post by Alb1)
I've been struggling with the following question and have no idea how to prove it, a full explanation would be helpful:

Prove that the sum of all the integers between m and n inclusive (n>m) is 0.5(m+n)(n-m+1).
You can prove it directly.

And

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3. Thanks.
4. I also found a different solution on this website https://undergroundmathematics.org/s...r7424/solution
5. (Original post by Alb1)
I also found a different solution on this website https://undergroundmathematics.org/s...r7424/solution
That's the exact same solution to your question just using the sigma notation instead.

which is what they use and even split it for the m in the same way that I've shown.

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