Register
Use Gauss's approach to find the sum for 1+2+3+4+...+999
88.6k views
3 votes
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
← Prev Question Next Question →

Related questions

User Thomas Schmidt
asked Mar 7, 2018 172k views
Use​ Gauss's approach to find the following sums​ (do not use​ formulas). 1+3+5+7+...999
Thomas Schmidt asked Mar 7, 2018
by Thomas Schmidt
8.0k points
1 answer
4 votes
172k views
User Anastasie Laurent
asked May 12, 2018 61.6k views
Use​ Gauss's approach to find the following sums​ a. 1+2+3+4..+999 b. 1+3+5..+997
Anastasie Laurent asked May 12, 2018
by Anastasie Laurent
8.1k points
1 answer
5 votes
61.6k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!