Question

For the given A.P. \(a = 3.5, \, d = 0\), find \(t_n = \, ?\)

• A. 0
• B. 3.5
• C. 103.5
• D. 104.5

Hint:

If the common difference \(d = 0\), all terms in an arithmetic progression are equal to the first term \(a\).

Answer 1

The Correct Option is B

Step 1: Recall the formula for the nth term of an A.P.
For an arithmetic progression, the nth term is given by: \[ t_n = a + (n - 1)d \] Step 2: Substitute the given values.
Given that \(a = 3.5\) and \(d = 0\), we have: \[ t_n = 3.5 + (n - 1)(0) \] Step 3: Simplify the expression.
\[ t_n = 3.5 + 0 = 3.5 \] Step 4: Conclusion.
Therefore, for any value of \(n\), the nth term of the given A.P. is constant, \(t_n = 3.5.\)
Final Answer: \[ \boxed{t_n = 3.5} \]