### If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

A. 0 B. 1 C. 2 D. -1 Answer: Option A

### Solution(By Apex Team)

Let the first term of the AP be a and the common difference = d 7th term = A7 = a + 6d 11th term = A11 = a + 10d According to question, $\begin{array}{l}\Rightarrow7\times(a+6d)=11\times(a+10d)\\ \Rightarrow7a+42d=11a+110d\\ \Rightarrow11a-7a=42d-110d\\ \Rightarrow4a=-68d\\ \Rightarrow a=-17d\\ \Rightarrow a+17d=0=A_{18}\end{array}$

A. 22
B. 25
C. 23
D. 24

A. 5
B. 6
C. 4
D. 3

A. -45
B. -55
C. -50
D. 0