1.

21. If 2, 3k - 1,8 are in A.P. then what is the value of k?​

Answer»

Answer :

K = 2

Explanation :

If 2, (3K - 1) and 8 are in AP,their COMMON difference WOULD be equal

Now,

\sf \: 8 - (3k - 1) = (3k - 1) - 2 \\  \\  \sf \:  \implies \:  9 - 3k = 3k - 3 \\  \\  \sf \:  \implies \cancel{3} \: ( 3 - k) =  \cancel{3}(k - 1) \\  \\  \implies \:  \sf \: 2k = 4 \\  \\  \implies \:  \boxed{ \boxed{ \sf{k = 2}}}



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