Find the value of for any positive integer .

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Find the value of ∑k=1m+29  −  ∑k=1m9\displaystyle \sum_{k=1}^{m+2} 9 \; - \; \sum_{k=1}^{m} 9 for any positive integer mm.

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