Describe Each Sequence Recursively

question 97

Short Answer

describe each sequence recursively. Include initial conditions and assume that the sequences begin with a₁.
-a_n = the number of bit strings of length n with an even number of 0's

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Definitions:

Atomic Statements

Expressions in logic that cannot be broken down into simpler statements and are used as the basic building blocks of logical expressions.

Main Connective

The principal operator in a compound logical expression, determining the overall outcome of the expression.

Atomic Statements

Simple statements that cannot be broken down into smaller statements without changing their meaning.

Main Connective

The logical operator in a complex proposition that determines the overall truth value of the proposition.