객관식
Evaluate the expression.
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21. Combinatorics and Probability
Factorials
객관식
Write the first 4 terms of the sequence
A
{1, 4, 18, 96}
B
{1, 2, 6, 24}
C
{0, 4, 18, 96}
D
{0, 2, 6, 24}
검증된 단계별 안내1
Identify the formula for the sequence: a_n = n^2 \(\cdot\) (n-1)!
Calculate the first term by substituting n = 1 into the formula: a_1 = 1^2 \(\cdot\) (1-1)! = 1^2 \(\cdot\) 0! = 1 \(\cdot\) 1 = 1
Calculate the second term by substituting n = 2 into the formula: a_2 = 2^2 \(\cdot\) (2-1)! = 4 \(\cdot\) 1! = 4 \(\cdot\) 1 = 4
Calculate the third term by substituting n = 3 into the formula: a_3 = 3^2 \(\cdot\) (3-1)! = 9 \(\cdot\) 2! = 9 \(\cdot\) 2 = 18
Calculate the fourth term by substituting n = 4 into the formula: a_4 = 4^2 \(\cdot\) (4-1)! = 16 \(\cdot\) 3! = 16 \(\cdot\) 6 = 96
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