Question

if the rth term of an A.P IS 5 and the 5th term is r,then find its (r+5)th term.

Answer 1

see the attachment!!!!!

Answer 2

Given:-  rth term=5
⇒a+(r-1)d=5..............(1)
5th term =1
⇒ a +4d=r......................(2)
put it in equation (1)
(r-4d)+(r-1)=5
⇒ r-4d+rd-d=5
⇒ r+(r -4 -1)d = 5
⇒ d =5-r ÷r-d =1
thus,a= r-4× (-1)=r+4
= r+5th term is a+(r + 5- 1) d
=(r+4) (r+4) (-1)
=(r+4) - ( r+4)
= 0
 hence, the answer is 0