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**If the first term of an AP is a and nth term is b, then its common difference is**

A. $\frac{ba}{n+1}$ B. $\frac{ba}{n-1}$ C. $\frac{ba}{n}$ D. $\frac{b+a} {n-1}$
**Answer: Option B**

## Show Answer

Solution(By Apex Team)

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

## Related Questions On Progressions

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A. 22B. 25

C. 23

D. 24

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A. 5B. 6

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### The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

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