The common difference of an A.P. for which a18 – a14 = 32 is ……�

1.	The common difference of an A.P. for which a18 – a14 = 32 is …………….. A) 8 B) -8 C) -4 D) 4
Answer» Correct option is (A) 8 We have \(a_{18} - a_{14} =32\) \(\Rightarrow(a+17d)-(a+13d)=32\) \((\because a_n=a+(n-1)d)\) \(\Rightarrow4d=32\) \(\Rightarrow d=\frac{32}4=8\) Hence, the common difference of given A.P. is 8. Correct option is A) 8

The common difference of an A.P. for which a18 – a14 = 32 is …………….. A) 8 B) -8 C) -4 D) 4

Answer»

Correct option is (A) 8

We have \(a_{18} - a_{14} =32\)

\(\Rightarrow(a+17d)-(a+13d)=32\) \((\because a_n=a+(n-1)d)\)

\(\Rightarrow4d=32\)

\(\Rightarrow d=\frac{32}4=8\)

Hence, the common difference of given A.P. is 8.

Correct option is A) 8