SOLUTION: 3,6,11,18,�.. the first four terms of a sequence are shown above. Which of the following could be the formula that gives the nth term of this sequence for all positive integers

Question 302194: 3,6,11,18,�..
the first four terms of a sequence are shown above. Which of the following could be the formula that gives the nth term of this sequence for all positive integers n ?
a 2n b 2n+1 c 3n d n^2+1 e n^2 +2

Answer by london maths tutor(243) (Show Source): You can put this solution on YOUR website!
The answer is (e) n^2 +2
nth term = n^2 + 2
When n = 1.... (1)^2 + 2 = 1 + 2 = 3
when n = 2 ... (2)^2 + 2 = 4 + 2 = 6
when n = 3 ... (3)^2 + 2 = 9 + 2 = 11
when n = 4 ... (4)^2 + 2 = 16 + 2 = 18

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