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notsponge [240]
3 years ago
15

For what value of k will k + 9, 2k -1 and 2k + 7 are the consecutive terms of an A.P.?

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

18

Step-by-step explanation:

Since, k + 9, 2k -1 and 2k + 7 are the consecutive terms of an A.P.

Therefore, their common differences would be same.

Hence,

(2k - 1) - (k + 9) = (2k + 7) - (2k - 1)

2k - 1 - k - 9 = 2k + 7 - 2k + 1

k - 10 = 8

k = 8 + 10

k = 18

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