Let's name the seats 1 through 120.
Occupy seat 2.
Leave 2 empty seats. You can't leave 3 empty seats because then the middle seat of the three empty seats is not adjacent to an occupied seat. You can leave only 2 seats empty. Seats 3 and 4 are empty.
Occupy seat 5.
Leave 2 empty seats. Seats 6 and 7 are empty.
Keep on going like this to the end, occupying 1 seat and leaving 2 seats empty.
Now we need to find the number of occupied seats.
Think of the entire row being divided into groups of 3 seats.
The middle seat of each group is occupied.
Since there are 120 seats in the row, there are 40 groups of 3 seats whose middle seat is occupied. There are 40 middle seats, so there are 40 occupied seats.
Answer: 40 seats
Inductive reasoning works from the root and extends outwards. That is, it starts from the conclusion, then makes premises out of this conclusion. This is opposite to deductive reasoning. The process works from the outside down to the root cause. So, you lay out all the premises first, then deduce the conclusion.
Algebraically, that will be expressed as:
The answer to your problem is the third option c.
Answer:
a. it will have more spread
for prepworks users :)
