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Gekata [30.6K]
4 years ago
7

The value of k so that the sequence k-1, k+3, 3k-1 forms an arithmetic progression is?​

Mathematics
1 answer:
VashaNatasha [74]4 years ago
3 0

Answer:

k = 4.

Step-by-step explanation:

An arithmetic sequence has a common difference.

So for this to be arithmetic:

k + 3 - (k - 1) = 3k - 1 - (k + 3)

k + 3 - k + 1 = 3k - 1 - k - 3

3 + 1 = 2k - 4

4 + 4 = 2k

k = 4.

The sequence is  3, 7, 11.

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