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The Beginning of an Arithmetic Sequence Is Shown Below. What Is the N^th Term Rule for This Sequence?

Question

The beginning of an arithmetic sequence is shown below. What is the n^th term rule for this sequence?

Answer

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Verificación de expertos
Kian Professional · Tutor for 6 years

Answer

The sequence looks like the sequence except that each term is multiplied by 2 and an additional 3 is added. So, the expression that describes this sequence is , where represents the position of a term in the sequence. Let's verify the first four terms:1. To find the term, plug in : 2. To find the term, plug in : 3. To find the term, plug in : 4. To find the term, plug in . Considering the explicit second-order difference and inspections for the terms, it is obvious that the sequence can be described by the rule .