Find the value of k For which 2k+7 , 6k-2, 8k+4 are 3 consecutive terms of an AP.
Answers
Answered by
11
Answer:
Step-by-step explanation:
Since the numbers are in AP,
2nd number - 1st number = 3rd number - 1st number
=> (6k - 2) - (2k + 7) = (8k + 4) - (6k - 2)
=> 4k - 9 = 2k + 6
=> 2k = 15
=> k = 15/2
So, the value of k is 15/2.
Hope it helps you my dear friend
Answered by
5
HEre, 2k+7, 6k-2 and 8k+4. will be
consecutive terms of an AP, if.
2(6k-2)=(2k+7)+(8k+4)
=> 12k-4=10k+11
=> 12k-10k=11+4.
=> 2k=15
=> k=15/2.
HOPE THIS HELPS
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