In the arithmetic progressions 2,5,8,… upto 50 terms and 3,5,7,9… upto 60 terms, find how many terms are identical.

Explanation

To solve the problem of finding how many terms are identical in the two arithmetic progressions (APs), we will follow these steps:

### Step 1: Identify the first AP
The first AP is given as \(2, 5, 8, \ldots\) up to 50 terms.

- The first term \(a_1 = 2\)
- The common difference \(d_1 = 5 - 2 = 3\)

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