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Mathematics — Standard (041) — CBSE Class 10 board question

Q1. [1] § 5.5 Summary
The 10th term of the AP $-5, \dfrac{-5}{2}, 0, \dfrac{5}{2}, \ldots$ is :
  1. A $\dfrac{35}{2}$
  2. B $\dfrac{-35}{2}$
  3. C $\dfrac{-45}{2}$
  4. D $\dfrac{45}{2}$
Previously asked in CBSE board exam
2025 30/2/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 10:30 · grounding rag
Model Answer

Here, $a = -5$, $d = -\dfrac{5}{2} - (-5) = \dfrac{5}{2}$, $n = 10$.

$a_{10} = a + 9d = -5 + 9 \times \dfrac{5}{2} = -5 + \dfrac{45}{2} = \dfrac{35}{2}$

Answer: (A) $\dfrac{35}{2}$

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Explanation

Use the nth term formula $a_n = a + (n-1)d$ from the chapter summary. Identify $a = -5$ and $d = \frac{5}{2}$ (positive, since the sequence increases). Substituting $n = 10$ gives $\frac{35}{2}$. A common mistake is taking $d$ as negative — check the sign carefully from consecutive terms.

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