A sequence is defined by the recursive formula a(1) = -6 and a(n) = a(n-1) + 2n. Write out the next THREE terms of this sequence. Show the work that leads to your terms.

Answer 1

a(1)=-6 =a(0)+2, a(0)=-8

a(2) =a(1)+2(2) = -6+4 = -2

a(3) = a(2) + 2(3) =-2+6 = 4

a(4) = a(3) +2(4) = 4+8 = 12

a(5) = a(4) =2(5) = 12+10= 22

-8,-6,-2,4,12,22,34, ...

the terms increase by 2, 4, 6, 8, 10, 12, ....