Question

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

Answer 1

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

$a_{2}=5 a_{1}+2=5*3+2=17$
$a_{3}=5 a_{2}+2=5*17+2=87$
$a_{4}=5 a_{3}+2=5*87+2=437$
$a_{5}=5 a_{4}+2=5*437+2=2187$