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What is the nth term of the sequence below?

2, 6, 12, 20, . . .

A. [tex]n {}^{2} \: + \: 1[/tex]

B. [tex]3n[/tex]

C. [tex]n(n \: + \: 1)[/tex]

D. [tex] {n}^{2} \: - \: 1[/tex]
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Respuesta :

ZeeSq

Answer:

Option C

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Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys