2. Given the quadratic inequality ks² - 4s > -½, where k is a constant and the quadratic possesses repeat roots. a. Determine one possible value for k. b. Using your answer from part a. above, solve the inequality. 3. Determine the value of the 24th term in an arithmetic sequence given that its first term is 28 and common difference is 7. 4. A series follows a geometric progression such that the first term is 20 and the common ratio is 2, determine the sum of the tenth (10th) to the fifteenth (15th) term. 5. A basketball arena has a seating capacity of five thousand nine hundred and thirteen (5,913). Any game played between the Nuts and the Cats; the arena is normally sold out. Determine the greatest number of rows that will be filled when the Nuts play the Cats, if the first row seats 30 persons and each successive row has 3 additional seats.
2. Given the quadratic inequality ks² - 4s > -½, where k is a constant and the quadratic possesses repeat roots. a. Determine one possible value for k. b. Using your answer from part a. above, solve the inequality. 3. Determine the value of the 24th term in an arithmetic sequence given that its first term is 28 and common difference is 7. 4. A series follows a geometric progression such that the first term is 20 and the common ratio is 2, determine the sum of the tenth (10th) to the fifteenth (15th) term. 5. A basketball arena has a seating capacity of five thousand nine hundred and thirteen (5,913). Any game played between the Nuts and the Cats; the arena is normally sold out. Determine the greatest number of rows that will be filled when the Nuts play the Cats, if the first row seats 30 persons and each successive row has 3 additional seats.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Given the quadratic inequality ks² - 4s > -½, where k is a constant and the
quadratic possesses repeat roots.
a. Determine one possible value for k.
b. Using your answer from part a. above, solve the inequality.
3. Determine the value of the 24th term in an arithmetic sequence given that its first term
is 28 and common difference is 7.
4. A series follows a geometric progression such that the first term is 20 and the
common ratio is 2, determine the sum of the tenth (10th) to the fifteenth (15th) term.
5. A basketball arena has a seating capacity of five thousand nine hundred and thirteen
(5,913). Any game played between the Nuts and the Cats; the arena is normally sold
out. Determine the greatest number of rows that will be filled when the Nuts play the
Cats, if the first row seats 30 persons and each successive row has 3 additional seats.
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