Question

interpole 7 meios aritmético entre 3 e 43

Answer 1

a1= 3
n= 7+2 =9
an= 43
razao= ?

an=a1+(n-1).r
43=3+(9-1).r
43=3+8.r
43-3=8r
40=8r
r=40/8= 5
3 8 13 18 23 28 33 38 43

Answer 2

$\[\begin{cases} & \text a_{1}= 3 \\ & \text a_{n}= 43 \\ & \text n= 9 \end{cases}\]\\\\\\\ a_{n} = a_{1}+(n-1)~\cdot~r\\\\\ 43 = 3+(9-1)~\cdot~r\\\\\ 43 = 3+8r\\\\\ 43 - 3 = 8r\\\\\ 40 = 8r\\\\\ 8r = 40\\\\ r = \dfrac{40}{8}}\\\\\\ \large\boxed{\boxed{\boxed{r = 5.}}}}}}}\\\\\\ \textsf{Interpolando}:~~~\large\boxed{\boxed{\boxed{(3,~8,~13,18,~23,~28,~33,~38~\textsf{e}~43)}}}}}}}}}}}$

Espero que te ajude. :-).

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