A) \[p-q+10\]
B) \[p+q+11\]
C) \[p+q-9\]
D) \[p+q-10\]
Correct Answer: C
Solution :
Let first term and common difference of an AP be a and d. According to the question, \[{{T}_{p}}=a+(p-1)d\] \[\Rightarrow \] \[q=a+(p-1)d\] ?..(i) and \[{{T}_{q}}=a+(q-1)d\] \[\Rightarrow \] \[p=a+(q-1)d\] ?..(ii) On solving Eqs. (i) and (ii), we get \[d=-1\] and \[a=p+q-1\] \[\therefore \] \[{{T}_{10}}=a+(10-1)d=p+q-10\]
You need to login to perform this action.
You will be redirected in
3 sec
