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OpenStudy (loser66):
The pentagonal numbers p1, p2, p3,....pk are the integers that count the number of dots in k nested pentagon, as shown in the figure ( in comment) Show that p1 =1 and \(p_k =p_{k-1}+ (3k -2) \) for \(k\geq 2\). Conclude that \(\sum_{k=1}^n (3k -2)\) and evaluate this sum to find a simple formula for \(p_n\) Please help
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OpenStudy (loser66):
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