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1 In Exercises I to 6, construct a difference table to predict the next term of each sequence. 1. 1, 7, 17, 31, 49, 71, ... 2. 10, 10, 12, 16, 22, 30, ... 3. -1,4, 21, 56, 115, 204, ...

1 In Exercises I to 6, construct a difference table to predict the next term of each sequence. 1. 1, 7, 17, 31, 49, 71, ... 2. 10, 10, 12, 16, 22, 30, ... 3. -1,4, 21, 56, 115, 204, ...

Advanced Engineering Mathematics
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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- In Exercises 1 to 6, construct a difference table to predict the next term of each sequence. 1. 1, 7, 17, 31, 49, 71, . 2. 10, 10, 12, 16, 22, 30, ... 3. -1, 4, 21, 56, 115, 204, ... 4. 0, 10, 24, 56, 112, 190, ... 5. 9, 4, 3, 12, 37, 84, ... 6. 17, 15, 25, 53, 105, 187, .. 1 In Exercises 7 to 10, use the given nth-term formula to compute the first five terms of the sequence. n(2n + 1) 7. а, — 8. a̟= 2 n + 1 9. a, = 5n² – 3n 10. a. = 2n - In Exercises I1 to 14, determine the nth-term formula for the number of square tiles in the nth figure. 11. 12. 13.
Transcribed Image Text:- In Exercises 1 to 6, construct a difference table to predict the next term of each sequence. 1. 1, 7, 17, 31, 49, 71, . 2. 10, 10, 12, 16, 22, 30, ... 3. -1, 4, 21, 56, 115, 204, ... 4. 0, 10, 24, 56, 112, 190, ... 5. 9, 4, 3, 12, 37, 84, ... 6. 17, 15, 25, 53, 105, 187, .. 1 In Exercises 7 to 10, use the given nth-term formula to compute the first five terms of the sequence. n(2n + 1) 7. а, — 8. a̟= 2 n + 1 9. a, = 5n² – 3n 10. a. = 2n - In Exercises I1 to 14, determine the nth-term formula for the number of square tiles in the nth figure. 11. 12. 13.
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