Consider the sequence 10, 16, 22, 28, 34, ... with a₁ = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. A. an an-1 + an-2; a1 = 10 B. an = an-1 +6; a₁ = 10 C. an = 6 an-1; a1 = 10 D. an 10.6″ b. Give a closed formula for the nth term of the sequence. an = c. Is 3034 a term in the sequence? A. Yes, it is a504 B. Yes, it is a3034 O C. No, it is between 3032 and 3038 O D. No, it is larger than 820 OE. Yes, it is a505 d. How many terms does the finite sequence 10, 16, 22, 28, 34, ..., 820 have?
Consider the sequence 10, 16, 22, 28, 34, ... with a₁ = 10. a. Which of the following is a recursive definition for the sequence. Select all that apply. A. an an-1 + an-2; a1 = 10 B. an = an-1 +6; a₁ = 10 C. an = 6 an-1; a1 = 10 D. an 10.6″ b. Give a closed formula for the nth term of the sequence. an = c. Is 3034 a term in the sequence? A. Yes, it is a504 B. Yes, it is a3034 O C. No, it is between 3032 and 3038 O D. No, it is larger than 820 OE. Yes, it is a505 d. How many terms does the finite sequence 10, 16, 22, 28, 34, ..., 820 have?
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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Question

Transcribed Image Text:Consider the sequence 10, 16, 22, 28, 34, ... with a₁ = 10.
a. Which of the following is a recursive definition for the sequence. Select all that apply.
A. an
an-1 + an-2; a1 = 10
B. an
an-1 + 6; a₁ = 10
C. an
6. an-1; a1
=
10
OD. an
10.6n
b. Give a closed formula for the nth term of the
sequence.
an =
c. Is 3034 a term in the sequence?
O A. Yes, it is a504
O B. Yes, it is a3034
C. No, it is between 3032 and 3038
O D. No, it is larger than 820
O E. Yes, it is a505
d. How many terms does the finite sequence 10, 16, 22, 28, 34,
=
-
A
→
820 have?

Transcribed Image Text:e. Find the sum: 10 + 16 +22+28 +34 +
f. Use what you
bn
=
+820
found above to find bn, the nth term of 2, 12, 28, 50, 78, ... where bo = 2.
B
→
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