Finish this sequence: 3, 7, 23, 96, ___

[NewJeffCT]

I saw this question yesterday and must have suffered a mental block on it. If the pattern continues, which number would be expected next and why? I know there is some sort of pattern, but I couldn't figure it out. It's probably easy, too.

The choices were:
119
112
723
488
161

I guessed at 488, but had really no clue.

[trof]

1. 3 X 2 + 1= 7

7 X 3 + 2=23
23 X 4 + 4=96
96 X 5 + 8=488

The multiplier increases by 1 each time and the added number doubles.
:-)

[NewJeffCT]

2. well, my guess was right at least

I had 23x4 = 96 stuck in my head, so I missed the pattern right there.