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Question

Mathematics Question on Sequence and series

If a,b,c,d,e,fa, b, c, d, e, f are in A.P., then ece - 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 xx be the common difference of the A.P. a,b,c,d,e,fa , b , c , d , e , f. As e is the 5 th term e=a+(51)x(an=a+(n1)d)\therefore e = a +(5-1) x \quad\left(\because a _{ n }= a +( n -1) d \right), where ana _n is the nthnth term