Find an explicit formula for an.8, 9, 10, 11, 12, . . .
A. an = n + 9
B. an = n + 7
C. an = n + 8
D. an = n - 8
Answer: B
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Use an Euler diagram to determine whether the argument is valid or invalid.No even number is divisible by 9.54 is an even number. Therefore, 54 is not divisible by 9.
A. valid B. invalid
Solve the problem.The following graph
A. has no Hamilton path. B. has a Hamilton path that starts at F and ends at D. C. has a Hamilton path that starts at F and ends at E. D. has a Hamilton path that starts at B and ends at F. E. none of these
Determine the limit by sketching an appropriate graph. 
A. 4 B. 1 C. Does not exist D. 0
For problems 1 and 2 change the function 
so that the graph that represents the function is shifted: 7 units left and 3 units up
A. 
B. 
C. 
D. 
E. None of these