Consider the trapezoidal numbers 1+1+1, 1+2+2+2+1, 1+2+3+3+3+2+1,... The nth trapezoidal number is 1+2+...+n+n+n+...+2+1 where n is...

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Consider the trapezoidal numbers 1+1+1, 1+2+2+2+1, 1+2+3+3+3+2+1,... The nth trapezoidal number is 1+2+...+n+n+n+...+2+1 where n is a positive integer. Complete parts (a) through (c) below. (a) Create a dot pattern representation of the trapezoidal numbers. Select the correct answer below. A. . C. D. (b) Notice that 1+1+1=1x3, 1+2+2+2+1=2x4, and 1+2+3+3+3+2+1=3x5. Show how the dots in a representation of a trapezoidal number can be rearranged into a rectangle with two more columns than rows. A. . . D. (c) Using inductive reasoning, show what general formula gives the nth trapezoidal number. The nth trapezoidal number is given by (Type an expression using n as the variable.) Consider the trapezoidal numbers 1+1+1, 1+2+2+2+1, 1+2+3+3+3+2+1,... The nth trapezoidal number is 1+2+...+n+n+n+...+2+1 where n is a positive integer. Complete parts (a) through (c) below. (a) Create a dot pattern representation of the trapezoidal numbers. Select the correct answer below. A. . C. D. (b) Notice that 1+1+1=1x3, 1+2+2+2+1=2x4, and 1+2+3+3+3+2+1=3x5. Show how the dots in a representation of a trapezoidal number can be rearranged into a rectangle with two more columns than rows. A. . . D. (c) Using inductive reasoning, show what general formula gives the nth trapezoidal number. The nth trapezoidal number is given by (Type an expression using n as the variable.)