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
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: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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