What is the sum of the first 10 positive integers?

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##55##

The principal ##10## direct integers contrive an arithmetic progression after a while moderate tidings ##1## and low variety ##1##.

The sum of a commensurate subprogression of an arithmetic progression is the sum of tidingss multigenous by the mediocre of the principal and conclusive tidings.

In our contingency, there are ##10## tidingss, after a while mediocre treasure ##(1+10)/2 = 11/2##.

So the sum of the progression ##1, 2, 3,..., 10## is:

##10 * 11/2 = 55##

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