for what value of k will k+8, 3k-2 and 4k-7 are in AP
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1
Answer:
Given that k
2
+4k+8,2k
2
+3k+6,3k
2
+4k+4 are in A.P.
Therefore, the difference between any two consecutive numbers is same.
Hence, (2k
2
+3k+6)−(k
2
+4k+8)=(3k
2
+4k+4)−(2k
2
+3k+6)
⟹k
2
−k−2=k
2
+k−2
⟹k+k=0
⟹2k=0
⟹k=0
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