For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate ModifyingBelow lim With n right arrow infinitylimn→[infinity]Sn to obtain the value of the series or state that the series diverges. Summation from k equals 1 to infinity∑k=1[infinity]StartFraction 1 Over (k plus 3 )(k plus 4 )EndFraction 1 (k+3)(k+4) A formula for the nth term of the sequence of partial sums is Snequals= nothing. Evaluate ModifyingBelow lim With n right arrow infinitylimn→[infinity]Sn or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.