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Mathematics — CBSE Class 10 board question

Q1. [1]
Which term of the A.P. $-29, -26, -23, \ldots, 61$ is $16$?
  1. (A) $11^{\text{th}}$
  2. (B) $16^{\text{th}}$
  3. (C) $10^{\text{th}}$
  4. (D) $31^{\text{st}}$
Previously asked in CBSE board exam
2024 30/2/1 Q16
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

(B) 16th

Here, $a = -29$, $d = 3$, $a_n = 16$.
Using $a_n = a + (n-1)d$: $16 = -29 + (n-1) \times 3 \Rightarrow 45 = 3(n-1) \Rightarrow n = 16$.

Source: Chapter 5, Section 5.3 (nth term formula)

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Explanation

Use the formula $a_n = a + (n-1)d$. Here $a = -29$, $d = -26-(-29) = 3$, and $a_n = 16$. Solving gives $n = 16$. A common mistake is arithmetic error when dividing; always verify by substituting $n$ back.

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