Find the value of k, for which 2k+7, 6k-...

Find the value of k, for which 2k+7, 6k-2 and 8k+4 are 3 consecutive terms of an AP.

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`T_(n+1)-T_n=T_n=T_(n-1)`
`8k+4-6k+2=6k-2-2k-7`
`2k+6=4k-9`
`k=15/2`.

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