The number of terms of an A.P. is even, the sum of odd terms is 24, of the even terms is 30, and the last term exceeds the first by `10 1/2` find the number of terms and the series.

Explanation

To solve the problem step by step, we will break down the information given and use the properties of arithmetic progressions (A.P.).

### Step 1: Define Variables
Let the number of terms in the A.P. be \(2n\) (since it is given that the number of terms is even). Let the first term be \(a_1\) and the common difference be \(d\).

### Step 2: Identify the Sums
We know:
- The sum of the odd terms is 24.
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