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Use Gauss's approach to find the sum for 1+2+3+4+...+999

Use Gauss's approach to find the sum for 1+2+3+4+...+999
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Use Gauss's approach to find the sum for 1+2+3+4+...+999

User Gamopo
by
7.9k points

2 Answers

2 votes
Sn=(a₁+an)n/2

Data:
a₁=1
an=999
n=999

Sn=(1+999)*999 /2=(1000)*999/2=999000/2=499500

Answer: the sum is 499500
User Kamen Goranchev
by
7.9k points
2 votes
1+999=1000

(999)/(2)
=499.5

The sum
=1000*499.5
=499500

User Rejwanul Reja
by
8.9k points
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