The first ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. The first term of the Lucas sequence is 1. Add the first and third terms. Record your answer. Now add the first, third, and fifth terms and record your answar Continue this pattern, each time adding another term that is in an odd position in the sequence. What do you notice about all of your sums? Choose the correct answer below. O A. Each sum is 2 less than a Lucas number. O B. Each sum is 2 more than a Lucas number.
The first ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. The first term of the Lucas sequence is 1. Add the first and third terms. Record your answer. Now add the first, third, and fifth terms and record your answar Continue this pattern, each time adding another term that is in an odd position in the sequence. What do you notice about all of your sums? Choose the correct answer below. O A. Each sum is 2 less than a Lucas number. O B. Each sum is 2 more than a Lucas number.
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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![The frst ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47,76, 123. The first term of the Lucas sequence is 1. Add the first and third terms. Record your answer. Now add the first, third, and fifth terms and record your answer.
Continue this pattern, each time adding another term that is in an odd position in the sequence. What do you notice about all of your sums?
Choose the correct answer below.
O A. Each sum is 2 less than a Lucas number.
O B. Each sum is 2 more than a Lucas number.
Click to select your answer.
?
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#3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ba8d972-f6d9-4b8a-a112-7115e6cdcee6%2Fd634f2ac-3f28-4f34-90c7-96dc4ccda742%2Fv1x1e5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The frst ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47,76, 123. The first term of the Lucas sequence is 1. Add the first and third terms. Record your answer. Now add the first, third, and fifth terms and record your answer.
Continue this pattern, each time adding another term that is in an odd position in the sequence. What do you notice about all of your sums?
Choose the correct answer below.
O A. Each sum is 2 less than a Lucas number.
O B. Each sum is 2 more than a Lucas number.
Click to select your answer.
?
MacBook Air
DII
DD
80
888
000
000
F9
F10
F11
F12
esc
F5
F6
F7
F8
F1
F2
F3
F4
$
&
(
1
2
5
7
8
delete
{
[
Q
W
R
T
Y
P
]
tab
G
K L
A
F
retur
caps lock
+||
< CO
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