If a , b , c , d , e , f are in arithmetic progression. Then e − c is equal to

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Question: Answered & Verified by Expert

If

a, b, c, d, e, f

are in arithmetic progression. Then

e - c

is equal to

MathematicsSequences and SeriesJEE Main

Options:

A $2 (c - a)$
B $2 (d - c)$
C $2 (f - d)$
D $d - c$

Solution:

1901 Upvotes Verified Answer

The correct answer is:

2 (d - c)

a, b, c, d, e, f are in A.P.

let common difference = D

∴ e - c = (a + 4 D) - (a + 2 D) = 2 D = 2 (d - c)

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