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1. Construct a difference table to predict the next term of each а. 1,7, 17, 31, 49, 71,... b. -1, 4, 21, 56, 115, 204, .. c. 9,4, 3, 12, 37, 84, ... sequence. 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1) a. a un 2 b. а 3 5n — Зп 3. Determine the nth-term formula for the number of square tiles in the nth figure.

1. Construct a difference table to predict the next term of each а. 1,7, 17, 31, 49, 71,... b. -1, 4, 21, 56, 115, 204, .. c. 9,4, 3, 12, 37, 84, ... sequence. 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1) a. a un 2 b. а 3 5n — Зп 3. Determine the nth-term formula for the number of square tiles in the nth figure.

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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1. Construct a difference table to predict the next term of each sequence. а. 1,7, 17, 31, 49, 71, .. b. -1, 4, 21, 56, 115, 204, ... c. 9, 4, 3, 12, 37, 84, ... 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1)_ a. a = b. Un 2 = 5n 3n а 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 az a4 ag b. a1 a2 az a4 a5
Transcribed Image Text:1. Construct a difference table to predict the next term of each sequence. а. 1,7, 17, 31, 49, 71, .. b. -1, 4, 21, 56, 115, 204, ... c. 9, 4, 3, 12, 37, 84, ... 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1)_ a. a = b. Un 2 = 5n 3n а 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 az a4 ag b. a1 a2 az a4 a5
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