Question
Mathematics Question on Sequence and series
If a,b,c,d,e,f are in A.P., then e−c is equal to :
A
2(c - a)
B
2(d - c)
C
2(f - d)
D
(d - c)
Answer
2(d - c)
Explanation
Solution
Let x be the common difference of the A.P. a,b,c,d,e,f. As e is the 5 th term ∴e=a+(5−1)x(∵an=a+(n−1)d), where an is the nth term