Mark the correct alternative in the following: If in an A.P., the pth term is q and term is zero, then the term is

Question

Philoid · Accepted Answer

Here, a_p=q and a_(p+q)=0

i.e. a+(p-1)d=q______(1)

and a+(p+q-1)d=0_____(2)

Subtracting (1) from (2) we get,

qd=-q

∴ d=-1

substituting this in (2) we get,

a+(p+q-1)(-1)=0

∴ a=p+q-1

So, a_q=a+(q-1)d

=p+q-1+(q-1)(-1)