If $p - 1$, $p + 1$ and $2p + 3$ are in A.P., then the value of p is

Question

Accepted Answer

## Model Answer **Option (C) 0** For an AP, the common difference is constant: $(p+1)-(p-1) = (2p+3)-(p+1)$ $\Rightarrow 2 = p+2 \Rightarrow p = 0$ ## Explanation Use the AP condition: middle term – first term = third term – middle term, i.e., $2b = a + c$. Set the two consecutive differences equal and solve. A common error is arithmetic mistakes while simplifying — write each step clearly.

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