'The ancient Greeks labeled certain numbers as triangular numbers The numbers 1, 3,6,10, 15,21, and so on are triangular numbers Describe procedure to determine the next five triangular numbers without drawing the figures. Is 72 a number in this series? Explain how you determined your answer'

SOLVED:Geometry The triangular numbers form a sequence. The diagram represents the first three triangular numbers: 1,3, and 6 . a. Find the fifth and sixth triangular numbers. b. Write a recursive formula for the n th triangular number. c. Is the explicit formula an=(1)/(2)(n^2 n) the correct formula for this sequence? How do you know?

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