   Chapter 11.1, Problem 11E

Chapter
Section
Textbook Problem

List the first five terms of the sequence.11. a1 = 2, a n + 1 = a n 1 + a n

To determine

To find: The first five terms of the sequence.

Explanation

Given:

The sequence is an+1=an1+an . (1)

The first term of the sequence is a1=2 .

Calculation:

Obtain the second term of the sequence.

Substitute 1 for n in equation (1).

a1+1=a11+a1

a2=a11+a1 (2)

Substitute 2 for a1 in equation (2).

a2=21+2=23

Thus, the second term of the sequence is a2=23_ .

Obtain the third term of the sequence.

Substitute 2 for n in equation (1).

a2+1=a21+a2

a3=a21+a2 (3)

Substitute 23 for a2 in equation (3).

a3=231+23=233+23=25

Thus, the third term of the sequence is a3=25_ .

Obtain the fourth term of the sequence.

Substitute 3 for n in equation (1)

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