A pyramid stack of soup cans is arranged in the following fashion: Layer1 has 1 can, Layer 2 has 3 cans, Layer 3 has 6 cnas, Layer 4 has 10 cans... a) Determine if the number of cans in each layer forms an arithmetic sequence? Geometric sequence? or neither?

b) Find the recursive formula tₙfor the number of cans in layer n

c) Find the nth term (explicit formula) for the number of cans in layer n

d) How many soup cans are there in the 15th layer?

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?