Suppose the first five terms of a sequence are 4, 5, 9, 27, 123. how could the next term in the sequence be generated? a. by adding 3 to the term number, then finding the factorial of the result b. by finding the factorial of the term number, then adding 3 to the result c. by adding 4 to the term number, then finding the factorial of the result d. by finding the factorial of the term number, then adding 4 to the result

The correct answer is:

B) by finding the factorial of the term number, then adding 3 to the result.

Explanation:

If we add 3 before finding the factorial, for the first term we would have:

(1+3)! = 4! = 4*3*2*1 = 24.  

This is not the first term, so this is not accurate.

Finding the factorial of the term number and then adding 3, we would have:
1!+3 = 1+3 = 4
2!+3 = 2*1+3 = 2+3 = 5
3!+3 = 3*2*1+3 = 6+3 = 9
4!+3 = 4*3*2*1+3 = 24+3 = 27
5!+3 = 5*4*3*2*1+3 = 120+3 = 123

This is the correct answer.