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f. Use what you found above to find bè, the nth term of 2, 12, 25, 41, 60, ... where bo = 2. bn = 7+3n

f. Use what you found above to find bè, the nth term of 2, 12, 25, 41, 60, ... where bo = 2. bn = 7+3n

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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f. Use what you found above to find bn, the nth term of 2, 12, 25, 41, 60,... where bo = 2. bn = 7+3n
Transcribed Image Text:f. Use what you found above to find bn, the nth term of 2, 12, 25, 41, 60,... where bo = 2. bn = 7+3n
Consider the sequence 10, 13, 16, 19, 22, ... with a₁ = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. A. an - = 3 ⋅ an−1; a₁ = 10 | B. An = an−1+ an−2; a1 = 10 10.3n C. an ✓ D. an An−1 + 3; a₁ = 10 b. Give a closed formula for the nth term of the sequence. an = = = 133 10+3 n-1 c. Is 1516 a term in the sequence? A. Yes, it is a503 B. No, it is between 1514 and 1517 OC. Yes, it is a502 D. No, it is larger than 412 OE. Yes, it is a 1516 d. How many terms does the finite sequence 10, 13, 16, 19, 22, ..., 412 have? e. Find the sum: 10 + 13 + 16 + 19 + 22 + 28063 +412
Transcribed Image Text:Consider the sequence 10, 13, 16, 19, 22, ... with a₁ = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. A. an - = 3 ⋅ an−1; a₁ = 10 | B. An = an−1+ an−2; a1 = 10 10.3n C. an ✓ D. an An−1 + 3; a₁ = 10 b. Give a closed formula for the nth term of the sequence. an = = = 133 10+3 n-1 c. Is 1516 a term in the sequence? A. Yes, it is a503 B. No, it is between 1514 and 1517 OC. Yes, it is a502 D. No, it is larger than 412 OE. Yes, it is a 1516 d. How many terms does the finite sequence 10, 13, 16, 19, 22, ..., 412 have? e. Find the sum: 10 + 13 + 16 + 19 + 22 + 28063 +412
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