3. If you subtract the squares of two consecutive triangular numbers, what kind of number do you get? Put the problem solving strategies together: use a table, look for a pattern, and use similar...

Extracted text: 3. If you subtract the squares of two consecutive triangular numbers, what kind of number do you get? Put the problem solving strategies together: use a table, look for a pattern, and use similar problems. a.) Complete the table below. Subscript Notation Numbers Result Rewrite the number as a base and exponent Hint: the result is not a square number, but instead, a different power. (T3)² – (T2)² (T4)² – (T3)² (T5)² – (T4)² 62 -32 27 - b.) Explain in words how you can predict the base and exponent of the answer. c.) Write a general formula using n. Put the correct subscripts on each T. how m (T )? - (T )2