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Find the explicit formula for the arithmetic sequence rn given below. Note that r1=13.13,10,7,4,1,…Select the correct answer below:rn=16−3nrn=10−3nrn=13−3nrn=10−4nrn=17−4nrn=13−4n

Find the explicit formula for the arithmetic sequence rn given below Note that r1131310741Select the correct answer belowrn163nrn103nrn133nrn104nrn174nrn134n class=

Respuesta :

Solution

[tex]13,10,7,4,1,...[/tex][tex]\begin{gathered} r_1=13 \\ d=r_2-r_1 \\ d=10-13 \\ d=-3 \end{gathered}[/tex]

Standard formula

[tex]r_n=r_1+(n-1)d[/tex]

Now substitute

[tex]\begin{gathered} r_n=13+(n-1)-3 \\ r_n=13-3n\text{ +3} \\ r_n=16-3n \end{gathered}[/tex]

The final answer

Option A