For the A.P. frac{3}{2}, frac{7}{2}, frac{11} | vedclass

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(C) The common difference $d$ of an $A.P.$ is given by the difference between any two consecutive terms,$d = a_{n} - a_{n-1}$.Given the $A.P.$ is $\fr

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The common difference $d$ of an $A.P.$ is given by the difference between any two consecutive terms,$d = a_{n} - a_{n-1}$.Given the $A.P.$ is $\frac{3}{2}, \frac{7}{2}, \frac{11}{2}, \frac{15}{2}, \ldots$Here,the first term $a_1 = \frac{3}{2}$ and the second term $a_2 = \frac{7}{2}$.Therefore,$d = a_2 - a_1 = \frac{7}{2} - \frac{3}{2}$.$d = \frac{7 - 3}{2} = \frac{4}{2} = 2$.Thus,the common difference is $2$.

For the $A.P.$ $\frac{3}{2}, \frac{7}{2}, \frac{11}{2}, \frac{15}{2}, \ldots,$ the common difference is

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