if 3+k,18_k,5k+1are in A.P .then find k
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a= 3 + k
d = 18 - k - ( 3 - k )
18 - k - 3 + k
- k + k is cut ( because - - (+) + - (-) become - k + k is cut
18 - 3
= 15
T
3 = a + ( n - 1 ) a
3 + k + ( 3 - 1 ) × 15
5 k + 1 = 3 + k + 30
5 k - k = 3 + 30 - 1
4 k = 32 k = 32 / 4
= 8
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