__ , 15 , __ , __ , 64 , . The second and fifth terms in linear pattern are

__ , 15 , __ , __ , 64 , . The second and fifth terms in linear pattern are shown above. (a) Quincy says that the slope of the pattern is 45 because the terms are 45 apart. Leticia says that the slope is actually 15, but can’t explain how she knows. Explain why Leticia is correct, including an argument correcting Quincy’s mistake. (b) Graph the pattern and use your graph to predict what the 0th term is. Explain your process in several sentences. (c) Write an equation for the pattern and use it to predict the value of the 107th term.

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