nikejose11

27.08.2021 • 

Mathematics

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?

Ответ:

cece4874

16.10.2020

Mathematics

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We can solve these equations by using substitution method where you substitute one equation to the other and solve for the value of the other variable. We do as follows:

y = 2x^2
y = –3x −1

 2x^2 = –3x −1
 2x^2 +3x +1 = 0

x1= -0.5
x2 = -1
y1 = 0.5
y2 = 2 

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