Find a Recursive Formula For $s_{n}$ , N $\ge$ 1, for the Sequence 1, 6, 41, 286, 2001

question 36

Multiple Choice

Find a recursive formula for $s_{n}$ , n $\ge$ 1, for the sequence 1, 6, 41, 286, 2001, ...

• A) \(s_{n}=7-s_{n-1}\) with \(s_{1}=1\)
• B) \(s_{n}=7 s_{n-1}-1\) with \(s_{1}=1\)
• C) \(s_{n}=7-s_{n-1}\) with \(s_{1}=7\)
• D) \(s_{n}=7 s_{n-1}-1\) with \(s_{1}=7\)

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Definitions:

Propositions

Statements or assertions expressing a judgement or an opinion that can be either true or false.

Middle Term

In the context of a syllogism in logic, the middle term is the term that appears in both premises but not in the conclusion, serving as a link between the two terms that do appear in the conclusion.

Major Premise

In deductive reasoning, the overarching statement or proposition from which a logical conclusion is drawn.

Minor Premise

The secondary or specific statement in a syllogism that, together with the major premise, leads to a logical conclusion.