Write the first six terms of the sequence defined by the function. $f ( n ) = 6 n ( n - 1 )$
A)0,12,72,180,336,432
B)12,36,72,120,180,252
C)0,0,12,36,72,120
D)0,12,36,72,120,180
E)−12,0,12,36,72,120

Question

Write the first six terms of the sequence defined by the function. $f ( n ) = 6 n ( n - 1 )$
A)0,12,72,180,336,432
B)12,36,72,120,180,252
C)0,0,12,36,72,120
D)0,12,36,72,120,180
E)−12,0,12,36,72,120
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Quizplus · Accepted Answer

To find the terms of the sequence, plug in the values of n and simplify: 
f (1) = 6(1)(0) = 0 
f (2) = 6(2)(1) = 12 
f (3) = 6(3)(2) = 36 
f (4) = 6(4)(3) = 72 
f (5) = 6(5)(4) = 120 
f (6) = 6(6)(5) = 180 
Therefore, the first six terms are 0, 12, 36, 72, 120, and 180. The only choice that matches this sequence is D.

Write the First Six Terms of the Sequence Defined by the Function