Question

Na sequencia abaixo, em P.A. encontre o trigésimo termo dessa sequência. (2/3,8/3,14/3,...)

Answer 1

$\largeO ~valor ~do ~ trig\acute{e}simo ~ termo ~da~PA ~ \Rightarrow ~a30 =\dfrac{263}{3}$

                              $\Large Progress\tilde{a}o ~Aritm\acute{e}tica$

Encontrar a razão da PA:

$r = a2 - a1\\\\\\r = \dfrac{8}{3} - \dfrac{2}{3}\\\\\\r = \dfrac{8 - 2}{3} \\\\\\r = \dfrac{6}{3} \\\\\\r = 3$

Encontrar o valor do termo a30:

$an = a1 + ( n -1 ) . r \\\\\\a30 = \dfrac{2}{3} + ( 30 -1 )~ . ~3\\\\\\a30 = \dfrac{2}{3} + 29~ .~ 3\\\\\\a30 = \dfrac{2}{3}+ 87\\\\\\a30 =\dfrac{263}{3}$

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