d. How many terms does the finite sequence 7, 16, 25, 34, 43, . . ., 1231 have? e. Find the sum: 7 + 16 + 25 +34 +43 + +1231 f. Use what you found above to find bn, the nth term of 4, 11, 27, 52, 86, . . . where bo = 4. bn

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
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Consider the sequence 7, 16, 25, 34, 43, . . . with a₁ = 7.
a. Which of the following is a recursive definition for the sequence. Select all that apply.
A. an
9. An-1; a₁ =7
B. an
7.92
C. an =
An-1 + An-2; a₁ = 7
D. An =
An−1+9; a₁ = 7
b. Give a closed formula for the nth term of the sequence.
An
=
= 9n-2
9n - 2
c. Is 4552 a term in the sequence?
A. No, it is larger than 1231
B. Yes, it is a4552
C. No, it is between 4550 and 4559
D. Yes, it is a505
OE. Yes, it is a506
d. How many terms does the finite sequence 7, 16, 25, 34, 43, . . . , 1231 have?
bn
e. Find the sum: 7 + 16 + 25 +34 +43 +
+ 1231
f. Use what you found above to find bè, the nth term of 4, 11, 27, 52, 86, . . . where bo
=
Transcribed Image Text:Consider the sequence 7, 16, 25, 34, 43, . . . with a₁ = 7. a. Which of the following is a recursive definition for the sequence. Select all that apply. A. an 9. An-1; a₁ =7 B. an 7.92 C. an = An-1 + An-2; a₁ = 7 D. An = An−1+9; a₁ = 7 b. Give a closed formula for the nth term of the sequence. An = = 9n-2 9n - 2 c. Is 4552 a term in the sequence? A. No, it is larger than 1231 B. Yes, it is a4552 C. No, it is between 4550 and 4559 D. Yes, it is a505 OE. Yes, it is a506 d. How many terms does the finite sequence 7, 16, 25, 34, 43, . . . , 1231 have? bn e. Find the sum: 7 + 16 + 25 +34 +43 + + 1231 f. Use what you found above to find bè, the nth term of 4, 11, 27, 52, 86, . . . where bo =
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