What is the sum of the even integers from 2 to 100?
How many even integers are there from 2 to 100?
Double 1, 2, 3,…, 50, and you get 2, 4, 6,…, 100, the even integers from 2 to 100. There are 50 even integers.
The series
Bonus A company pays a $10,000 bonus to salespeople at the end of their first 50 weeks if they make 10 sales in their first week, and then improve their sales numbers by two each week thereafter. One salesperson qualified for the bonus with the minimum possible number of sales. How many sales did the salesperson make in week 50? In all 50 weeks?
Think | Write |
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The first week sales were 10. Sales increased by 2 each week. |
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The sequence is arithmetic. Use the explicit formula to find the sales in week 50. Substitute 50 for n, 10 for |
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Use the formula for
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Write the answers. | The salesperson made 108 sales in week 50 and 2950 sales in all 50 weeks. |