High School

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The fourth term of an arithmetic progression (AP) is three times its first term and the seventh term exceeds the third term by 1. Find the tenth term of the AP.

Answer :

Final answer:

So, the tenth term of the AP is 25.

Explanation:

The tenth term of the arithmetic progression (AP) is 25.

  1. Let the first term of the AP be a.
  2. From the given conditions, we have 4a = 3a, and 7a - 3a = 1.
  3. Solving these equations to get a = 3, the tenth term T10 = a + 9d = 3 + 9(2) = 3 + 18 = 21.
  4. So, the tenth term of the AP is 25.

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