If a, b, c, d, e, f are in A.P. then e – c is equal to – | MATH - ARITHMETIC PROGRESSION | SolveeIt | Solveeit

Today, August 19

Question

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 common difference be x; then

e – c = (a + 4x) – (a + 2x) = 2x = 2(d – c)