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If the p^(t h) term of an A.P. is q and ...

If the `p^(t h)` term of an A.P. is `q` and the `q^(t h)` term is `p ,` prove that its `n^(t h)t e r mi s(p+q-n)dot`

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To prove that the n-th term of an arithmetic progression (A.P.) is \( p + q - n \) given that the p-th term is \( q \) and the q-th term is \( p \), we can follow these steps: ### Step-by-Step Solution: 1. **Define the A.P.**: Let the first term of the A.P. be \( a \) and the common difference be \( d \). 2. **Express the p-th term**: ...
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Knowledge Check

  • If p^(th) term of an A. P. is q and the q^(th) term is p. Find the first term of an A.P.

    A
    o
    B
    q
    C
    p
    D
    `p+q-1`
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