Find the common difference of the given AP.

-1, -3, -5, -7, ...

-5

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-2

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Solution

The correct option is D
-2

Common difference of an AP is the difference between consecutive terms of that AP.

Given,

first term $a_{1}$ = -1

second term $a_{2}$ = -3

third term $a_{3}$ = -5

$a_{2}$ - $a_{1}$ = -3 - (-1) = -2

$a_{3}$ - $a_{2}$ = -5 - (-3) = -2

$∴$ common difference d = -2

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