Question

10^th term of A.P. 4, 9, 14, ……. is:

• A. 49
• B. 54
• C. 59
• D. 64

Hint:

The \(n\)-th term of an arithmetic progression is calculated using the formula \(a_n = a + (n-1) \cdot d\), where \(a\) is the first term and \(d\) is the common difference.

Answer 1

The Correct Option is A

In an arithmetic progression (A.P.), the \(n\)-th term is given by the formula: \[ a_n = a + (n-1) \cdot d \] where \(a\) is the first term, \(d\) is the common difference, and \(n\) is the term number. Here, the first term \(a = 4\) and the common difference \(d = 9 - 4 = 5\). We need to find the 10\textsuperscript{th} term, so \(n = 10\). Using the formula: \[ a_{10} = 4 + (10-1) \cdot 5 = 4 + 9 \cdot 5 = 4 + 45 = 49 \]
Step 2: Conclusion.
Therefore, the 10\textsuperscript{th} term of the given A.P. is 49. Final Answer:} 49.