lewysangel
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A stockbroker trades stock for 100 days. On day 1 he loses $100. Every day after that, he loses $100 more than on the previous day. What is his average daily loss during the 100 – day period?
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Word Problem
- Thread starter lewysangel
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Hello, lewysangel!
He loses a total of: \(\displaystyle \:100\,+\,200\,+\,300\,+\,400\,+\,\cdots\,+\,10,000\)
. . \(\displaystyle = \;100(1\,+\,2\,+\,3\,+\,4\,+\,\cdots\,+\,100)\;=\;100\left(\frac{100\cdot101}{2}\right)\)
His average daily loss is: \(\displaystyle \:\frac{100\left(\frac{100\cdot101}{2}\right)}{100} \;=\;\frac{100\cdot101}{2}\;=\;\$5,050\)
A stockbroker trades stock for 100 days.
On day 1 he loses $100.
Every day after that, he loses $100 more than on the previous day.
What is his average daily loss during the 100–day period?
He loses a total of: \(\displaystyle \:100\,+\,200\,+\,300\,+\,400\,+\,\cdots\,+\,10,000\)
. . \(\displaystyle = \;100(1\,+\,2\,+\,3\,+\,4\,+\,\cdots\,+\,100)\;=\;100\left(\frac{100\cdot101}{2}\right)\)
His average daily loss is: \(\displaystyle \:\frac{100\left(\frac{100\cdot101}{2}\right)}{100} \;=\;\frac{100\cdot101}{2}\;=\;\$5,050\)