(From Unit 1, Lesson 6.)Here is a recursive definition for a sequence f: f(0) = 19, f(n) =definition for the n'h term is f(n) = 19 – 6 •n for n > 0.f(n – 1) – 6 for n > 1. The%3D1. Explain how you know that these definitions represent the same sequence.2. Select a definition to calculate f(20), and explain why you chose it.(From Unit 1, Lesson 8.)An arithmetic sequence j starts 20, 16, ... Explain how you would calculate the value of the 500thterm.(From Unit 1, Lesson 8.)F10F6FZF8

Name: (From Unit 1, Lesson 6.)Here is a recursive definition for a sequence
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: (From Unit 1, Lesson 6.)Here is a recursive definition for a sequence f: f(0) = 19, f(n) =definition for the n'h term is f(n) = 19 – 6 •n for n > 0.f(n – 1) – 6 for n > 1. The%3D1. Explain how you know that these definitions represent the same seque

Note: As per Bartleby's guidelines, for more than one question asked in the main part, only one question has to be answered. Please upload the other questions separately. Given, the recursive definition for a sequence f: f0=19fn=fn-1-6, n≥1 The definition for the nth term of the sequence f is, fn=19-6n, for n≥0 1) From the recursive definition, fn=fn-1-6=fn-2-6-6=fn-3-6-6-6=f0-6-6⋯-6⏟n times=f(0)-6n=19-6n Thus, the two definitions represent the same sequence.2) To find f20, fn=19-6nf20=19-620=19-120=-101 The second definition is been selected as it involves the direct substitution of the value of which is to be determined.