Summations Involving APGP Q2

Summations Involving APGP Q2

Find

  1. \(\sum\limits_{r=3}^{n}{(3nr+n+{{3}^{r}})}\)
  2. \(\sum\limits_{r=0}^{n}{(nr+n+{{2}^{r}})}\)

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Answer:(i) \(\frac{n(n-2)(3n+11)}{2}+\frac{27}{2}(3^{n-2}-1)\) (ii) \(\frac{n(n+1)(n+2)}{2}+2^{n+1}-1\)

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