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nth Term of A.P

If -5, k, -...

Question

If $- 5, k, - 1$ are $A P$ , then the value of $k$ is equal to

A

- 5

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B

- 3

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C

- 1

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D

3

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E

5

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Solution

The correct option is D $- 3$
Given that $- 5, k, - 1$ are in A.P.
Therefore, $k + 5 = - 1 - k$
$\Rightarrow 2 k = - 6$
$\Rightarrow k = - 3$
Therefore, the value of $k$ is $- 3$ .

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