Question

If the p th term of an A.P. is q and qth term is p,prove that the r th term is p+q-r. Which term of the series is zero.

Answer 1

Answer:

Step-by-step explanation:

In A.P., nth term is a+(n-1)d

a+(p-1)d=q ->(1)

a+(q-1)d=p ->(2)

(1)-(2)

a+pd-d-a-qd+d=q-p

pd-qd=-(p-q)

d=-1

a-p+1=q

a=q-1+p

substitute a and d in below equation

a+(r-1)d

p+q-1-r+1

P+q-r

Hence proved!