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}

Given that the series is given by:

an=5an-1+2

where:

a1=3

then the other terms of the sequence will be:

a2=5a1+2

a2=5*3+2=17

a3=5a2+2

a3=5 (17) + 2

a3=87

a4=5a3+2

a4=5 (87) + 2

a4=437

a5=5a4+2

a5 = (5*437+2)

a5=2187

hence the sequence will be:

3, 17, 87, 437, 2187

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