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ICSE Class 10 Mathematics Question 47 of 49

Multiple-Choice Questions — Question 47

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Question 47

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)

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.