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Question:Determine k so that k+2, 4k - 6 and 3k - 2 are the three consecutive terms of an AP.
Answers
Answered by
1
Answer:
Given:( 3k-2), (4k-6) and (k+2) are three consecutive terms of an AP.
To find The value of k
Let a= 3k-2
a2= 4k -6
a+d = 4k -6
3k-2 +d = 4k -6
d = k-4
a3 = k+2
a+ 2d = k+2
3k-2 +2k -8= k+2
5k -10 = k+2
4k = 14
k = 7/2
Therefore answer the value of k is 7/2.
Answered by
1
To be terms of an AP the difference between two consecutive terms must be the same
So if k+2, 4k-6 & 3k-2 are terms of an AP, then
4k-6–(k+2) = 3k-2–(4k-6)
4k-6-k-2=3k-2-4k+6
3k-8= –k+4
4k = 12
k =12/4=3
Thus the value of k is 3
HOPE IT HELPS..... :-)
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