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If the first term of an A.P. is a and nth term is b, then its common difference is

A. $\frac{b-a}{n+1}$ B. $\frac{b-a}{n-1}$ C. $\frac{b-a}{n}$ D. $\frac{b+a}{n-1}$ Answer: Option B
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Solution(By Apex Team)

In the given A.P. First term = a and nth term = b $\begin{aligned}&\therefore a+(n-1)d=b\\ &\Rightarrow(n-1)d=b-a\\ &\Rightarrow d=\frac{b-a}{n-1}\end{aligned}$

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