If the 90th90th element of an arithmetic progression is 1009 and the 50th50th element is 569, then what is the 11th11th element?

Question

If the 90th90th element of an arithmetic progression is 1009 and the 50th50th element is 569, then what is the 11th11th element?

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Mia 1 month 2021-08-13T14:35:44+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T14:37:26+00:00

    ANSWER

    Let the first term of AP be a and difference be d

    Then third term will be =a+2d

    15 th  will be=a+14d6 th  will be=a+5d11 th  will be=a+10d13 th  will be=a+12dThen the equation will be a+2d+a+14d=a+5d+a+10d+a+12d2a+16d=3a+27da+11d=0We understand a+11d will be the 12 th

    term of arithmetic progression.

    So, the correct answer is 12.

    HOPE IT’S HELPS YOU ❣️

    0
    2021-08-13T14:37:31+00:00

    Answer:

    600

    I hope you are satisfied by my answer.

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