Question: Three numbers form an arithmetic sequence, the common difference being 11. If the first number is decreased by 6, the second is decreased by 1

Three numbers form an arithmetic sequence, the common difference being 11.

If the first number is decreased by 6, the second is decreased by 1 and the third is doubled, the resulting numbers are in geometric sequence. How many such arithmetic progressions are possible?

(a) 2

(b) 3

(c) 4

(d) 0

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