Question

What reclusive formula can be used to represent the sequence 2, 6, 10, 14, 18

Answer 1

a(n) = a(n-1) + 4

Explanation:

a(1) = 2 The first term is 2

a(n) = a(n-1) + 4 We add 4 to the previous term or n-1

So, we get...

a(n) = a(n-1) + 4

a(1) = 2

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

a(3) = a(3-1) +4 3(2) + 4 = 10

and so on and so forth. I hope this helps.