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
Solution(By Examveda Team)
In the given A.P.First term = a and nth term = b
$$\eqalign{ & \therefore a + \left( {n - 1} \right)d = b \cr & \Rightarrow \left( {n - 1} \right)d = b - a \cr & \Rightarrow d = \frac{{b - a}}{{n - 1}} \cr} $$
Related Questions on Progressions
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
A. 5
B. 6
C. 4
D. 3
E. 7
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 765
C. 640
D. 680
E. 690
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