contestada

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 :

The correct answer is A, because applying the formula [tex] a_{n}=5 a_{n-1}+2 [/tex], we find that

[tex] a_{2}=5 a_{1}+2=5*3+2=17 [/tex]
[tex] a_{3}=5 a_{2}+2=5*17+2=87 [/tex]
[tex] a_{4}=5 a_{3}+2=5*87+2=437 [/tex]
[tex] a_{5}=5 a_{4}+2=5*437+2=2187 [/tex]

Answer:

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

Explanation: