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Two A.P have the same common difference....

Two A.P have the same common difference. The first term of one A.P is 2 and that of the other is 7. The difference between the 10th terms is the same as the difference between their 21st terms, which is the same as the difference between any corresponding terms. Why?

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To solve the problem, we need to analyze the two arithmetic progressions (APs) given their first terms and common difference. Let's denote the first AP as \( A \) and the second AP as \( B \). ### Step-by-Step Solution: 1. **Identify the First Terms and Common Difference:** - The first term of AP \( A \) is \( a_1 = 2 \). - The first term of AP \( B \) is \( b_1 = 7 \). - Let the common difference for both APs be \( d \). ...
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