Can someone check my answers?

Question 1 (Multiple Choice Worth 2 points)
A playground is being designed where children can interact with their friends in certain combinations.

If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be only 1 interaction.
If there are 3 children, there can be 5 interactions.
If there are 4 children, there can be 14 interactions.

Which recursive equation represents the pattern?
an = an – 1 + 2(n – 1) ***
an = an – 1 + (n – 1) 2
an = an – 1 + 2(n – 1)
an = an – 1 + (2n – 1)

Question

Can someone check my answers?

Question 1 (Multiple Choice Worth 2 points)
A playground is being designed where children can interact with their friends in certain combinations. 

If there is 1 child, there can be 0 interactions. 
If there are 2 children, there can be only 1 interaction. 
If there are 3 children, there can be 5 interactions. 
If there are 4 children, there can be 14 interactions. 

Which recursive equation represents the pattern?
an = an – 1 + 2(n – 1)  ***
an = an – 1 + (n – 1) 2 
an = an – 1 + 2(n – 1) 
an = an – 1 + (2n – 1)

anonymous · Answer

Question 2 (Multiple Choice Worth 3 points)
The yearly attendance at a local movie theater is 42,000 and grows continuously at a rate of 5.9% each year. What is the approximate attendance at the movie theater in seven years?
43,467  
59,346  
63,476 ***
62,737