[tex]\large\text{$O ~valor ~do ~ trig\acute{e}simo ~ termo ~da~PA ~ \Rightarrow ~a30 =\dfrac{263}{3} $}[/tex]
[tex]\Large\text{$ Progress\tilde{a}o ~Aritm\acute{e}tica $}[/tex]
Encontrar a razão da PA:
[tex]r = a2 - a1\\\\\\r = \dfrac{8}{3} - \dfrac{2}{3}\\\\\\r = \dfrac{8 - 2}{3} \\\\\\r = \dfrac{6}{3} \\\\\\r = 3[/tex]
Encontrar o valor do termo a30:
[tex]an = a1 + ( n -1 ) . r \\\\\\a30 = \dfrac{2}{3} + ( 30 -1 )~ . ~3\\\\\\a30 = \dfrac{2}{3} + 29~ .~ 3\\\\\\a30 = \dfrac{2}{3}+ 87\\\\\\a30 =\dfrac{263}{3}[/tex]
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