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Mathematics

The 30th term of the A.P. 10, 7, 4, … is

  1. 87

  2. 77

  3. -77

  4. -87

AP GP

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Answer

The above series is an A.P. with first term = a = 10 and common difference = d = 7 - 10 = -3.

We know that

    an = a + (n - 1)d
∴ a30 = 10 + (30 - 1) × (-3) = 10 + 29 × (-3) = 10 - 87 = -77.

Hence, Option 3 is the correct option.

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