Describe the pattern T_n = 2n + 1 using verbal descriptions, a flow diagram, and a number sentence.

Here are the equivalent forms for the pattern T_n = 2n + 1. 5. Equivalent forms a) Verbally The pattern starts with 3, and each subsequent term is obtained by adding 2 to the previous term. Alternatively, to find any term, multiply the term number by 2 and then add 1. b) In a flow diagram Input (Term number, n) → [Multiply by 2] → [Add 1] → Output (Term, T_n) c) By a number sentence The number sentence (or general rule) for the pattern is: T_n = 2n + 1 Here is the completed table: | Equivalent Form | Representation | | :---------------- | 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----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- The pattern is "add 2 to the previous term". a) Verbally To find any term in the pattern, start with the number 3 and repeatedly add 2 to get the next term. Alternatively, the rule is: two times the term number plus one. b) In a flow diagram ` [Start] | V [Input: Term number (n)] | V [Multiply by 2] | V [Add 1] | V [Output: Term (T_n)] | V [End] ` c) By a number sentence The general rule for the pattern is: T_n = 2n + 1 That's 2 down. 3 left today — send the next one.