The common difference of an AP in which a25 – a12 = -52 is ……�

1.	The common difference of an AP in which a25 – a12 = -52 is …………………. A) 4 B) -4 C) -3 D) 3
Answer» Correct option is (B) -4 We have \(a_{25}-a_{12}=-52\) \(\Rightarrow(a+24d)-(a+11d)=-52\) \((\because a_n=a+(n-1)d)\) \(\Rightarrow24d-11d=-52\) \(\Rightarrow13d=-52\) \(\Rightarrow d=\frac{-52}{13}=-4\) Correct option is B) -4

The common difference of an AP in which a25 – a12 = -52 is …………………. A) 4 B) -4 C) -3 D) 3

Answer»

Correct option is (B) -4

We have \(a_{25}-a_{12}=-52\)

\(\Rightarrow(a+24d)-(a+11d)=-52\) \((\because a_n=a+(n-1)d)\)

\(\Rightarrow24d-11d=-52\)

\(\Rightarrow13d=-52\)

\(\Rightarrow d=\frac{-52}{13}=-4\)

Correct option is B) -4