What is the equation of the line that passes through the points (-3,2) and (-5,8)
2 answers:
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Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
Explanation:
<u><em>First you subtract by -1 both sides of an equation.</em></u>
<u><em></em></u>
<u><em>Then, simplify the number.</em></u>
<u><em>34-1=33</em></u>
<u><em>x>33</em></u>
<u><em>Or interval notation 33,∞ </em></u>
<u><em>Final answer: → x>33 and 33,∞</em></u>
<u><em>Hope this helps!</em></u>
<u><em>Thanks!</em></u>