Multiple choice

$p^{th}$ term of the series $\displaystyle \left ( 3-\frac{1}{n} \right )+\left ( 3-\frac{2}{n} \right )+\left ( 3-\frac{3}{n} \right ).......$ will be

  1. $\displaystyle 3+\frac{p}{n}$
  2. $\displaystyle 3-\frac{p}{n}$
  3. $\displaystyle 3+\frac{n}{p}$
  4. $\displaystyle 3-\frac{n}{p}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is (3 - 1/n) + (3 - 2/n) + (3 - 3/n) + ... The p-th term is clearly 3 - p/n.

AI explanation

Observing the provided series, the first term is (3 - 1/n) and the second term is (3 - 2/n). By identifying this pattern, the p-th term replaces the subtracted fraction's numerator with the term number p. Therefore, the p-th term of the series is 3 - p/n.

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