C1 = -5, Cn = 5cn–1 – 3: -5 -5 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 15E
Question

List the first four terms of each sequence 

The image contains a sequence defined by a recurrence relation. The sequence begins with:

\[ c_1 = -5 \]

The recurrence relation is:

\[ c_n = 5c_{n-1} - 3 \]

The sequence displayed is:

\[ -5, 8, -5, 8, \ldots \]

The values alternately switch between -5 and 8. This may suggest a pattern or a cyclical behavior in the sequence based on the recurrence relation provided.
Transcribed Image Text:The image contains a sequence defined by a recurrence relation. The sequence begins with: \[ c_1 = -5 \] The recurrence relation is: \[ c_n = 5c_{n-1} - 3 \] The sequence displayed is: \[ -5, 8, -5, 8, \ldots \] The values alternately switch between -5 and 8. This may suggest a pattern or a cyclical behavior in the sequence based on the recurrence relation provided.
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