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Question

for what value of k 3k+2, 4k+5 and 6k-4 are in ap

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Solution

K, 3k+2,4k+5,6k-4 are in arithmetic progression
a2 - a1 = a3-a2
4k+5-(3k+2)=6k-4-(4k+5)
4k-3k+5-2=6k-4k-4-5
K+3=2k-9
-k=-9-3
K=12

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