Find a, b and c such that the following numbers are in AP, a, 7, b, 23 and c.

Explanation

To find the values of a, b, and c such that the numbers a, 7, b, 23, and c are in arithmetic progression (AP), we can follow these steps:

### Step 1: Understand the condition for AP
In an arithmetic progression, the difference between consecutive terms is constant. Therefore, we can set up the following equalities based on the terms provided:
- The common difference between the first two terms (a and 7) is equal to the common difference between the second and third terms (7 and b), which is also equal to the common difference between the third and fourth terms (b and 23), and finally equal to the common difference between the fourth and fifth terms (23 and c).

### Step 2: Set up the equations
From the above understanding, we can write:
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