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Show that the sum of all odd integers be...

Show that the sum of all odd integers between 1 and 1000 which are divisible by 3 is 83667.

Text Solution

Verified by Experts

The odd numbers between `1 and 1000 `divisible by` 3`` are 3, 9, 15,…,999`.
Let the number of terms be ‘n’, so the `nth` term is `999`
` a = 3, d = 9-3 = 6, a_n = 999`
We know the `nth` term of an A.P is is
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Knowledge Check

  • The sum of all odd numbers between 1 and 1000 which are divisible by 3 is

    A
    83667
    B
    90000
    C
    83660
    D
    None of these
  • The sum of all odd numbers between 1 and 1000 which are divisible by 3 is

    A
    83667
    B
    90000
    C
    83660
    D
    None of these
  • The sum of all odd numbers between 1 and 1000 which are divisible by 3 is

    A
    83667
    B
    90000
    C
    83660
    D
    None of these
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