1. A runner targets herself to improve her time on a certain course by 3 seconds a day. If onday 0 she runs the course in 3 minutes, how fast must she run it on day 14 to stay ontarget?2. A certain computer algorithm executes twice as many operations when it is run with aninput of size k as when it is run with an input of size k − 1 (where k is an integer that isgreater than 1). When the algorithm is run with an input of size 1, it executes sevenoperations. How many operations does it execute when it is run with an input of size 25?
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