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Find the first five terms of the sequence: an = 5an – 1 + 2; a1 = 3.


a) {3, 17, 87, 437, 2187}

b) {3, 15, 75, 375, 1875}

c) {3, 12, 17, 22, 27}

d) {3, 11, 27, 59, 123}

Respuesta :

gmany

[tex]a_1=3\\\\a_n=5a_{n-1}+2\\\\\text{Therefore:}\\\\a_2=5a_1+2\to a_2=5(3)+2=15+2=17\\\\a_3=5a_2+2\to a_3=5(17)+2=85+2=87\\\\a_4=5a_3+2\to a_4=5(87)+2=435+2=437\\\\a_5=5a_4+2\to a_5=5(437)+2=2185+2=2187\\\\Answer:\ \boxed{a)\ \{3,\ 17,\ 87,\ 437,\ 2187\}}[/tex]

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