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(a) Please fill out the rest of the table. n(n+1)² n² (n + 1)² -n² -3 -2 TOI231 0 4 5 61490 4 1 0 1 1 3 (b) What numbers show up in the right column of the above table? Make a conjecture relating these numbers and the other columns of the table. (c) Prove your conjecture.

(a) Please fill out the rest of the table. n(n+1)² n² (n + 1)² -n² -3 -2 TOI231 0 4 5 61490 4 1 0 1 1 3 (b) What numbers show up in the right column of the above table? Make a conjecture relating these numbers and the other columns of the table. (c) Prove your conjecture.

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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2. (a) Please fill out the rest of the table. n(n+1)² n² (n + 1)² -n² -3 -2 0 1 2 3 4 5 10019 4101 1 3 (b) What numbers show up in the right column of the above table? Make a conjecture relating these numbers and the other columns of the table. (c) Prove your conjecture.
Transcribed Image Text:2. (a) Please fill out the rest of the table. n(n+1)² n² (n + 1)² -n² -3 -2 0 1 2 3 4 5 10019 4101 1 3 (b) What numbers show up in the right column of the above table? Make a conjecture relating these numbers and the other columns of the table. (c) Prove your conjecture.
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