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3. Consider the number sequence 1, 14, 51, 124, 245, 426, ... a. Find the next two terms of the given sequence. b. Find the formula for the nth term of the sequence. c. Determine the 100th term of the sequence.

3. Consider the number sequence 1, 14, 51, 124, 245, 426, ... a. Find the next two terms of the given sequence. b. Find the formula for the nth term of the sequence. c. Determine the 100th term of the sequence.

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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3. Consider the number sequence 1, 14, 51, 124, 245, 426,... a. Find the next two terms of the given sequence. b. Find the formula for the nth term of the sequence. c. Determine the 100th term of the sequence. 3
Transcribed Image Text:3. Consider the number sequence 1, 14, 51, 124, 245, 426,... a. Find the next two terms of the given sequence. b. Find the formula for the nth term of the sequence. c. Determine the 100th term of the sequence. 3
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