Question

if the pth term of an ap is v and the vth term is p then prove that p=v​

Answer 1

Answer:

a +(p-1)d=v------1

a+(v-1)d=p------2

subtracting eq i from ii we get

v-p= p-v

2v=2p

v=p

hence proved

Answer 2

SOLUTION

$a + (p - 1)d = v.........(1) \\ a + (v - 1)d = p..........(2)$

Now, subtracting equation (1) from (2).

$= > v - p = p - v \\ = > v + v = p + p \\ = > 2v = 2p \\ = > \frac{2p}{2v} \\ \\ = > p = v$

Hence Proved

Hope it helps ☺️