Consider the sequence 10, 17, 24, 31, 38, ... with a1 = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. А. а, = an-1+7; a1= 10 В. аn = an-1 +an 2; a1 = 10 O C. an = 7. an-1; a1 = 10 D. an 10 - 7" b. Give a closed formula for the nth term of the sequence. an = 10+ (n– 1)7 c. Is 3524 a term in the sequence? A. Yes, it is a503 B. Yes, it is a502 C. Yes, it is a3524 O D. No, it is between 3522 and 3529 O E. No, it is larger than 948 d. How many terms does the finite sequence 10, 17, 24, 31, 38, ..., 948 have? 135 e. Find the sum: 10 + 17 + 24 + 31 + 38 + ·… . + 948 64665 f. Use what you found above to find b,, the nth term of 3, 13, 30, 54, 85, ... where bo = 3. b, = 31
Consider the sequence 10, 17, 24, 31, 38, ... with a1 = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. А. а, = an-1+7; a1= 10 В. аn = an-1 +an 2; a1 = 10 O C. an = 7. an-1; a1 = 10 D. an 10 - 7" b. Give a closed formula for the nth term of the sequence. an = 10+ (n– 1)7 c. Is 3524 a term in the sequence? A. Yes, it is a503 B. Yes, it is a502 C. Yes, it is a3524 O D. No, it is between 3522 and 3529 O E. No, it is larger than 948 d. How many terms does the finite sequence 10, 17, 24, 31, 38, ..., 948 have? 135 e. Find the sum: 10 + 17 + 24 + 31 + 38 + ·… . + 948 64665 f. Use what you found above to find b,, the nth term of 3, 13, 30, 54, 85, ... where bo = 3. b, = 31
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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