Question

Determine a média aritmética dos 4 meios aritméticos interpolados entre 12 e 47.

Answer 1

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$\sf{a_1=12~~a_6=47~~~r=?}\\\sf{a_6=a_1+5r}\\\sf{47=12+5r}\\\sf{5r=47-12}\\\sf{5r=35}\\\sf{r=\dfrac{35}{5}}\\\sf{r=7}\\\sf{(12,\bf 19,26,33,40,\sf 47)}\\\sf{\overline{m}=\dfrac{19+26+33+40}{4}}\\\sf{\overline{m}=\dfrac{118}{4}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf \overline{m}=29,5}}}}$