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7. Describe the sequence W so that W(n) is the number of white squares in Step n, and describe the sequence B so that B(n) is the number of black squares in Step n. Step 1 Step 2 a. Complete the following table. Step 3 Step # (n) 1 4 White Squares (W) Black Squares (B) b. Are the sequences W and B arithmetic, geometric, or neither? Explain how you know. c. Write an explicit equation for sequence W(n). W(n) =. for n 2 %3D

7. Describe the sequence W so that W(n) is the number of white squares in Step n, and describe the sequence B so that B(n) is the number of black squares in Step n. Step 1 Step 2 a. Complete the following table. Step 3 Step # (n) 1 4 White Squares (W) Black Squares (B) b. Are the sequences W and B arithmetic, geometric, or neither? Explain how you know. c. Write an explicit equation for sequence W(n). W(n) =. for n 2 %3D

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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7. Describe the sequence W so that W(n) is the number of white squares in Step n, and describe the sequence B so that B(n) is the number of black squares in Step n. Step 1 Step 2 a. Complete the following table. Step 3 Step # (n) 1 4 White Squares (W) Black Squares (B) b. Are the sequences W and B arithmetic, geometric, or neither? Explain how you know. c. Write an explicit equation for sequence W(n). W(n) = for n2 d. Write an explicit equation for sequence B(n) B(n) = for n 2 e. Find how many white and black square there will be for the 10th step. W(10) = , B(10) = %3D f. Is the number of black squares ever larger than the number of white squares? Explain how you know.
Transcribed Image Text:7. Describe the sequence W so that W(n) is the number of white squares in Step n, and describe the sequence B so that B(n) is the number of black squares in Step n. Step 1 Step 2 a. Complete the following table. Step 3 Step # (n) 1 4 White Squares (W) Black Squares (B) b. Are the sequences W and B arithmetic, geometric, or neither? Explain how you know. c. Write an explicit equation for sequence W(n). W(n) = for n2 d. Write an explicit equation for sequence B(n) B(n) = for n 2 e. Find how many white and black square there will be for the 10th step. W(10) = , B(10) = %3D f. Is the number of black squares ever larger than the number of white squares? Explain how you know.
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