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

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

NTA AbhyasNTA Abhyas 2022Sequences and Series

Solution:

$a,b,c,d,e$ are in A.P.
Let common difference $=D$
$\therefore e-c=\left(a + 4 D\right)-\left(a + 2 D\right)=2D=2\left(\right.d-c\left.\right)$