What's one plus 100,

What's one plus 100,


Hello!
1 to 100
=(1+100)X100÷2
=101x100÷2
=5050
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How much is it from one to one hundred?


Gauss's Law: multiply the number of terms by 2
(1+100)*100/2=101*100/2=10100/2=5050



Observe the following numbers: 2, - 6,12, - 20. Please find out the rule and fill in the blanks according to the rule. The ninth number? The fourteenth number? The nth number?
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First, observe the number (not considering the positive and negative) 2 = 26 = 2 + 412 = 2 + 4 + 620 = 2 + 4 + 6 + 8. The nth item: 2 + 4 + 6 +... 2n, and then consider the positive and negative problems. This number is positive every other one, which can be used to (- 1) ^ (n + 1) that is (- 1) ^ (n + 1) power. In this way, the expression of this number is (2 + 4 + 6 +... 2n) * (- 1) ^ (n + 1) = 2 (1 + 2 + 3... N