Question

Find the 4th term in the sequence with the following definition:
Please help!!

Answer 1

a1= 3

a2 = 4a(2-1)+2

= 4a1 +2

= 4( 3)+ 2 = 14

a3= 4a(3-1) +2

= 4a2 +2

= 4(14)+2

= 56+2 = 58

a4= 4a(4-1)+2

= 4a3 +2

= 4( 58) + 2

= 232+2= 234

Answer 2

234

Explanation:

Using the recursive formula and a₁ = 3, then

a₂ = 4a₁ + 2 = 4(3) + 2 = 12 + 2 = 14

a₃ = 4a₂ + 2 = 4(14) + 2 = 56 + 2 = 58

a₄ = 4a₃ + 2 = 4(58) + 2 = 232 + 2 = 234

Thus the 4 th term is 234