Provide an appropriate response.
(i) List the sequence of hexagonal numbers. that corresponds to the sequence of dot patterns above. These are called (ii) What is the ninth hexagonal number?(III) Determine a formula for the nth pentagonal number pn.
A. (i) 1, 7, 22, 50, ....
(ii) Ninth hexagonal number: 170
(iii) hn = (n + 1)(2n - 1)
B. (i) 1, 6, 15, 28, ....
(ii) Ninth hexagonal number: 41
(iii) hn = 5n - 4
C. (i) 1, 6, 15, 28, ....
(ii) Ninth hexagonal number: 153
(iii) hn = n(2n - 1)
D. (i) 1, 7, 22, 50, ....
(ii) Ninth hexagonal number: 144
(iii) hn = 2n(n - 1)
Answer: C
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