208k views
5 votes
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}

User Delu
by
7.5k points

2 Answers

4 votes

Answer:

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

Step-by-step explanation:

User Sakuraba
by
8.4k points
2 votes
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
User Dragi
by
8.9k points