A ternary string is a sequence of 0's, 1's and 2's. Just like a bit string, but with three symbols. Let's call a ternary string good provided it never contains a 2 followed immediately by a O. Let be the number of good strings of length n. For example, G₁ = 3. and G₂ = 8(since of the 9 ternary strings of length 2, only one is not good).Find, with justification, a recursive formula for , and use it to compute G₅.

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Write a program that has a conversation with the user. the program must ask for both strings and numbers as input. the program must ask for at least 4 different inputs from the user. the program must reuse at least 3 inputs in what it displays on the screen. the program must perform some form of arithmetic operation on the numbers the user inputs. turn in your .py file as well as a screenshot of your program's output. include comments in your code to explain how it works an example program run might look like (have fun with this and be creative): ‘what is your name? ’ “josh” ‘, josh. what is your favorite color? ’ “green” ‘mine too. do you also like ice cream? ’ “no” ‘josh, how old are you? ’ “40” ‘ and how many siblings do you have? ’’ “3” ‘that means you are one of 4 kid(s). is green the favorite color of anyone else in your house? ’

5.a fishing rod is formed from a composite material of 0.5 kg of glass fibers embedded in a matrix of 0.5 kg of epoxy resin. the glass fibers are assumed to be long, continuous and unidirectional. to achieve a greater stiffness it is proposed to use a different composite that is comprised of long continuous carbon fibers that will be embedded in a matrix of 0.5 kg of epoxy resin. if the modulus of elasticity of the carbon fiber composite is 10% greater than the elastic modulus of the glass fiber composite, estimate the mass of carbon fibers that will be used to make the carbon fiber composite. assume the applied tensile stress is parallel to the direction of the long axis of the fibers. the epoxy resin, glass fiber, and carbon fiber have an elastic modulus of 5, 86, and 350 gpa respectively and a density of 1100, 2500, and 1800 respectively.