Question

what value of k is the sequence 2k+4 , 3k-7 , k+12 an arithmetic sequence ?​

Answer 1

$\huge{\mathscr{\purple{♡Heya \: Mate♡}}} \\ \\ </p><p>\huge{\mathfrak{\underline{\underline{Änswër}}}}\purple{\implies}$

as we know , to have an arithmetic sequence the difference of value of preceding term and succeeding term is constant

A/Q

(3k-7)-(2k+4)=(k+12)-(3k-7)

3k-7-2k-4=k+12-3k+7

k-11=-2k+19

k+2k=19+11

3k=30

k=30/3

$\huge{\boxed{k=10}}$

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$hope it helps uhh ☻$

Answer 2

Answer:

The value of K is 10. Hoped it helped you