If p, q, r are in AP, which of these is also always in AP?

Class 10Properties and Selection of AP TermsAlgebra — Sequences

A $p^{2}, q^{2}, r^{2}$
Bp + 4, q + 4, r + 4
C $\frac{1}{p}, \frac{1}{q}, \frac{1}{r}$
D $p, 2 q, 3 r$

Step-by-Step Solution

Adding the same number to each term keeps the common difference unchanged. Squares or reciprocals of an AP are generally not in AP: e.g. 1, 2, 3 gives 1, 4, 9.

Answer: B) p + 4, q + 4, r + 4

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