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What is the n-th term of the sequence 2, 6, 12, 20...?

What is the n-th term of the sequence 2, 6, 12, 20...?

A.

4n - 2

B.

2(3n - 1)

C.

n2 + n

D.

n2 + 3n + 2

View answer & explanation

Correct answer is C

Given that 2, 6, 12, 20...? the nth term = n2 + n

check: n = 1, u1 = 2

n = 2, u2 = 4 + 2 = 6

n = 3, u3 = 9 + 3 = 12

∴ n = 4, u4 = 16 + 4 = 20

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