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

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Author:James Stewart
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Chapter1: Functions And Models
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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.
A. an
= an-1+7; a1= 10
В. ат
= an-1 +an 2; a1 =
10
OC. an = 7 . an-1; a1 =
10
D. an
10 - 7"
%3D
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
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.
%3D
b, = 31
Transcribed Image Text: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. A. an = an-1+7; a1= 10 В. ат = an-1 +an 2; a1 = 10 OC. an = 7 . an-1; a1 = 10 D. an 10 - 7" %3D 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 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. %3D b, = 31
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