The figure below shows that 4 one-inch segments are needed to make a 1 × 1 square, 12 one-inch segments are needed to make a 2 × 2 square composed of four 1 x 1 squares, and 24 one-inch segments are needed to make a 3 × 3 square composed of nine 1 × 1 squares. How many one-inch segments are needed to make an n × n square composed of 1 × 1 squares?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The figure below shows that 4 one-inch segments are needed to make a 1 × 1 square, 12 one-inch segments
are needed to make a 2 × 2 square composed of four 1 × 1 squares, and 24 one-inch segments are needed to
make a 3 × 3 square composed of nine 1 × 1 squares. How many one-inch segments are needed to make an
nx n square composed of 1 x 1 squares?
Transcribed Image Text:The figure below shows that 4 one-inch segments are needed to make a 1 × 1 square, 12 one-inch segments are needed to make a 2 × 2 square composed of four 1 × 1 squares, and 24 one-inch segments are needed to make a 3 × 3 square composed of nine 1 × 1 squares. How many one-inch segments are needed to make an nx n square composed of 1 x 1 squares?
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