After the battle of saratoga, france recognized the united states as a nation. how did this the war effort?

a. the british army released hundreds of american prisoners
b. american soldiers went to france to be trained by military experts.
c. france and other countries went to war against great britain.
d. many british soldiers deserted the british army

You are given the first four terms of an arithmetic sequence. why might you use a recursive formula? why might you use an explicit formula? under what conditions might a recursive formula be preferred over the explicit formula? under what conditions might an explicit formula be preferred over the recursive formula? pleasss ! sorry if it's a long question: (