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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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: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?
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
→
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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