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In the following APs, find the missing terms in the boxes : 2, _ , 26

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Use the APs, and find the missing terms. How to difference between any two consecutive terms is a constant.
find the it is a constant difference or common difference. Class 10th Maths for Session 2022-2023.

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1 Answer

  1. Here, a = 2 and a₃ = 26. To find: a₂
    Given that: a₃ = a + (3 -1)d = 26
    ⇒ 2 + 2d = 26
    ⇒ d = 12 – d ….(1)
    and a₄ = 3 ⇒ a + 3d = 3
    Therefore, a₂ = a + (2 – 1)d = 2 + 12 = 14

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