Assume that the following patterns are built of square tile and the pattern continues. Ans...

Assume that the following patterns are built of square tile and the pattern continues. Answer the questions that follow.

a. How many square tiles are there in the sixth figure?

b. How many square tiles are in the nth figure?

c. Is there a figure that has exactly 1259 square tiles? If so, which one? (Hint: To determine if there is a figure in the sequence containing exactly 1259 square tiles, first think about the greatest square number less than 1259.)