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1 vote
36+37+38+39+...+131
what is the answer

User Evertiro
by
8.0k points

1 Answer

0 votes

Answer:

8,016

Explanation:

Interesting question! I'm not sure why this occurred to me, but add the first term and the last:

36 + 131 = 167

Now add the 2nd term and the 2nd-to-last:

37 + 130 = 167

If you keep going, it keeps working:

38 + 129 = 167

So that would be a way to do it, find out how many pairs of numbers add up to 167, then multiply that number by 167.

You could write out all those numbers and cross off one number from each end (a matching pair), and see how many times you had to do that.

Or you could find the midpoint of 36 and 131, which is just their average:

36 + 131 = 167 ÷ 2 = 83.5

That's telling us that the last pair will be 83 & 84, which in fact still equals 167, like the others.

So now we just have to figure out how many numbers there are between 36 and 83, inclusive, which is 48 (because you have to count 36 AND 83, not just take the difference between them).

So 48 times we get 167, which sounds like:

48 x 167 = 8,016

There's probably a "mathy" way to do it, but that works.

User Iaroslav Vorozhko
by
8.2k points

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