A series whose nth term is n x + y , the sum of r terms will be

Mathematics · JEE Advanced · NTA ExamsProgression and Series

A series whose nth term is \(\frac{\mathrm{n}}{\mathrm{x}}+\mathrm{y},\) the sum of r terms will be
  1. \(\frac{\mathrm{r}(\mathrm{r}+1)}{2 \mathrm{x}}+\mathrm{y}\)
  2. \(\frac{\mathrm{r}(\mathrm{r}-1)}{2 \mathrm{x}}\)
  3. \(\frac{\mathrm{r}}{2 \mathrm{x}}(\mathrm{r}-1)-\mathrm{y}\)
  4. \(\frac{\mathrm{r}(\mathrm{r}+1)}{2 \mathrm{y}}-\mathbb{K}\)

Answer

(A) r ( r +1) 2 x + y

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