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For what value of k will k + 11, 2k – 1 and 2k + 7 are the consecutive terms of an A.P.?
1st answer will be marked brainliest and no glibberish answers


Sagot :

[tex]\text{For arithmetic series, the common difference will be same. }\\\\~~~~~~(2k-1)-(k+11) = (2k+7)-(2k-1)\\\\\implies 2k-1-k-11 = 2k+7-2k+1\\\\\implies k-12=8\\\\\implies k=8+12\\\\\implies k=20[/tex]