Question

If pth term of an A.P is q and qth term is p. find the first term ​

Answer 1

Answer:

what is p th term

Step-by-step explanation:

Answer 2

Answer:

First term = q+p-1

Step-by-step explanation:

Let first term be 'a' and common difference be d .

p  th  term=q

q  th  term=p.

p  th  term=a+(p−1)d=q−−−−(1)

q  th  term=a+(q−1)d=p−−−−(2)

(ii)--(i)

a+(q-1)d=p

a+(p-1)d=q

___________

(q-1)d-(p-1)d=p-q

⇒d[q−1−p+1]=p−q.

⇒d[q−p]=p−q

⇒d=  

p−q

(p−q)

∴d=−1

sub. d=-1 in (1)

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

=q+p-1

Hence,

first term = a= q+p-1

common difference = d=-1