Question

If (p + 1)th term of an A.P is twice the (q+1)th term show that (3p+ 1)th term is twice the (p + q + 1)th term.

Answer 1

here is the solution for your problem...
hope it helps

Answer 2

Answer: (p+1)=2(q+1)

p+1=2q+2

p-2q=2-1

p-2q=1

p=1+2q. __(1)

(3p+1)= 2(p+q+1)

3(1+2q)+1=2{(1+2q)+q+1}

3+6q+1=2+4q+2q+2

4+6q=4+6q

Hence,LHS=RHS