JazzPuppy7400 JazzPuppy7400

15-07-2020
Mathematics

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Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

Respuesta :

Newton9022 Newton9022

20-07-2020

Answer:

[tex]r_3=3[/tex]

Step-by-step explanation:

Given:

[tex]r_1=2\\r_n=-r_{n-1}+n-2[/tex]

We want to find the value of [tex]r_3[/tex] .

[tex]\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3[/tex]

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