Multiple choice

Check if the series is an A.P. Find the common difference $d$ and write three more terms of the the following series. $2,\displaystyle\frac{5}{2}$, $3,\displaystyle\frac{7}{2}, ...$

  1. $a=2$; $d=\dfrac{1}{2}$; other terms $4,$ $\dfrac{9}{2},5$ 
  2. $a=3$; $d=\dfrac{1}{2}$; other terms $6, 8, 10$
  3. $a=2$; $d=\dfrac{3}{2}$; other terms $7, 8, 15$
  4. $a=3$; $d=\dfrac{3}{2}$; other terms $4, 5, 15$
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A Correct answer
Explanation

The series is 2, 2.5, 3, 3.5. Common difference d = 0.5. Next three terms are 4, 4.5, 5.

AI explanation

The series is an arithmetic progression because the difference between any two successive terms is a constant 1/2. The first term a is 2, and the common difference d is 1/2. Adding 1/2 successively to 7/2 yields the next three terms as 4, 9/2, and 5.

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