Question

if P term of an ap is a and q term is b what is the value of p+q term?​

Answer 1

Answer:

0

Step-by-step explanation:

Given p times the pth term of an A.P is equal to q times the qth term of an A.P

ap = a+(p-1)d

aq = a+(q-1)d

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

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

p(a+(p-1)d) – q(a+(q-1)d) = 0

a(p-q) + (p2-q2)d + (q-p)d = 0

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

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

Cancel (p-q) from both terms

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

So (p+q)th term = 0