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Find the middle term of the A.P. 213, 20...

Find the middle term of the A.P. 213, 205, 197, ..., 37.

Text Solution

Verified by Experts

Let `a`= first term of `A.P`
`d`=common difference
So,`n`th term, `a_n​=a+(n−1)d`
Here `a=213`
`d=205−213=−8,a_n​=37`
`a_n​=a+(n−1)d`
`=>37=213+(n−1)(−8)`
`=>176=8(n−1)`
`=>8n=184 ...
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Knowledge Check

  • Find the middle term of the AP 213, 205, 197, …, 37.

    A
    `124`
    B
    `125`
    C
    `126`
    D
    `127`
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