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Chapter 12: Q. 53 (page 817)
The sum of the first 120 terms of the sequence 14, 16, 18, 20...鈥�
The sum of the first 120 terms of the Arithmetic sequence is 15960
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Find x so that x, x + 2, and x + 3 are consecutive terms of a geometric sequence.
In Problems 61鈥�70, express each sum using summation notation.
You have just signed a 7-year professional football league contract with a beginning salary of \(2,000,000 per year. Management gives you the following options with regard to your salary over the 7 years.
1. A bonus of \)100,000 each year
2. An annual increase of 4.5% per year beginning after 1 year
3. An annual increase of $95,000 per year beginning after 1 year
Which option provides the most money over the 7-year
period? Which the least? Which would you choose? Why?
If you have been hired at an annual salary of $18,000 and expect to receive annual increases of 5%, what will your salary be when you begin your fifth year?
Extended Principle of Mathematical Induction The Extended Principle of Mathematical Induction states that if Conditions I and II hold, that is,
(I) A statement is true for a natural number j
(II) If the statement is true for some natural number , then it is also true for the next natural number .then the statement is true for all natural numbers . Use the Extended Principle of Mathematical Induction to show that the number of diagonals in a convex polygon of n sides is .
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