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Mathematics

Given, a1, a2, a3, ….. and b1, b2, b3, ….. are real numbers such that a1 - b1 = a2 - b2 = a3 - b3 = ……… are all equal.

a1 - b1, a2 - b2, a3 - b3, …….. forms a ……… progression.

  1. Geometric (r = 1)

  2. Arithmetic (d = 1)

  3. Geometric (r < 1)

  4. Arithmetic (d = 0)

AP GP

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Answer

Since,

a1 - b1 = a2 - b2 = a3 - b3.

∴ a1 - b1, a2 - b2, a3 - b3, …….. forms a arithmetic progression with common difference (d = 0).

Hence, Option 4 is the correct option.

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