Question
Asked Oct 20, 2019

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SEQUENCES, SERIES, AND PROBABILITY
Ма
Finding the first terms of a sequence using a recursive rule
Es
Suppose that a sequence is defined as follows.
n22
for
- Ln-1
a15
аn
List the first four terms of the sequence.
?
X
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SEQUENCES, SERIES, AND PROBABILITY Ма Finding the first terms of a sequence using a recursive rule Es Suppose that a sequence is defined as follows. n22 for - Ln-1 a15 аn List the first four terms of the sequence. ? X

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Expert Answer

Step 1

The given recurrence relation is,

a-2a 3 for n2 2
n-1
It is given that, the first term of the
sequence is
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a-2a 3 for n2 2 n-1 It is given that, the first term of the sequence is

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Step 2

Substitute n = 2 in the recurrence relation to find the second term as follows.

az2a23
=-2a, 3
= -2( -5)+3
а,
103
= 13
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az2a23 =-2a, 3 = -2( -5)+3 а, 103 = 13

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Step 3

Substitute n = 3 in the recurrence relation t...

a-2a3
3-1
=-2a, +3
- -2 (13)+3
=-26+3
= -23
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a-2a3 3-1 =-2a, +3 - -2 (13)+3 =-26+3 = -23

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