us to represent the pattern T_n = 2n + 1 in three equivalent forms: verbally, in a flow diagram, and by a number sentence.

Here are the equivalent forms for the pattern T_n = 2n + 1. 5. Equivalent forms | Equivalent Form | Representation | | :---------------- | 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The problem asks us to represent the pattern T_n = 2n + 1 in three equivalent forms: verbally, in a flow diagram, and by a number sentence. a) Verbally This form describes the pattern using words. The pattern starts with the first term T_1 = 2(1) + 1 = 3. The common difference is d=2, which means each subsequent term is found by adding 2 to the previous term. Alternatively, we can describe the rule T_n = 2n + 1 directly. The verbal representation is: To find any term in the pattern, multiply the term number by 2 and then add 1. The pattern starts with 3, and each subsequent term is obtained by adding 2 to the previous term. b) In a flow diagram A flow diagram illustrates the sequence of operations to transform the input (term number, n) into the output (term value, T_n). The flow diagram is: Input (Term number, n) → [Multiply by 2] → [Add 1] → Output (Term, T_n) c) By a number sentence A number sentence is the algebraic rule or formula that defines the pattern. This was already determined in the previous question. The number sentence for the pattern is: T_n = 2n + 1 Here is the completed table: | Equivalent Form | Representation | | :---------------- | 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