What is the measure of ehg?
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.
Answer:
The number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Step-by-step explanation:
Let the number of candles small candle holder have x
And the number of candles large candle holder have y
So, according to the information given in the question:
17 small candle holders means 17 x
and 2 large candle holders means 2y
using a total of 46 candles means (1)
Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:
(2)
We will solve equation (1) and (2) by elimination method:
Subtractijng the two equations we get:
Substitute x=2 in equation(2) we get:
So, the number of candles will hold 2 candles
And large candle holder will hold 6 candles.