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Determine the AP whose third term is 16 ...

Determine the AP whose third term is 16 and the `7^(t h)`term exceeds the `5^(t h)`term by 12.

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To determine the arithmetic progression (AP) based on the given conditions, we follow these steps: ### Step 1: Understand the terms of an AP In an arithmetic progression, the nth term can be expressed as: \[ A_n = A_1 + (n-1)D \] where \( A_1 \) is the first term, \( D \) is the common difference, and \( n \) is the term number. ### Step 2: Use the information about the third term ...
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Determine the A.P. whose third term is 16 and the 7^(th) term exceeds the 5^(th) term by 12 .

Determine the AP whose third term is 16 and the 7 th term exceeds the 5 th term by 12 .

Knowledge Check

  • The number of terms in an A.P. is even , the sum of odd terms is 63 and that of even terms is 72 and the last term exceeds the first term by 16.5 . Find the number of terms :

    A
    8
    B
    12
    C
    9
    D
    10
  • The number of terms in an A.P. is even, the sum of odd terms is 63 and that of even terms is 72 and the last term exceeds the first term by 16.5. Find the number of terms:

    A
    8
    B
    12
    C
    9
    D
    10
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