Question

If 2/3,k,5/8 are in A.P. Find k.

Answer 1

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If 2/3,k,5k/8 are in A.P then there is a common difference between them. Let the common difference be 'd'
i.e k+d=5k/8
=> d=-3k/8
i.e (2/3)+d=k
=> (2/3)+(3k/8)=k
=> (16-9k)/24=k
=> 16-9k=24k
=> 24k+9k=16
=> 33k=16
=> k=16/33
Therefore the value of k is 16/33
The series is 2/3,16/33,10/33
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Answer 2

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