badge image

Enroll For Free Now & Improve Your Performance.

User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade: 12


1.IF Pth term of an A.P is q and qth tem of an AP is p then prove that (p+q) term is 0

9 years ago

Answers : (3)

vikas askiitian expert
509 Points

let a & d are the first term & common differnece respectively then

pth term = a+(p-1)d = q                       ...............1

qth term = a+(q-1)d = p                     ...............2


 q-p = (p-q)d



    (p+q)th term = a + (p+q-1)d

putting value of a from eq 1

         (p+q)th term = q - (p-1)d + (p+q-1)d                  (d =-1)


9 years ago
Fawz Naim
37 Points

The pth term of an AP is = a+(p-1)d

where a is the first term of the AP and  d is the common difference

as pth term is equal to q therefore q=a+(p-1)d .....1

similarly qth term is equal to p

p=a+(q-1)d .......2

solve the two equations to get the value of a and d. It will come



now (p+q)th term is =a+(p+q-1)d

put the values of a and d





9 years ago
Kushagra Madhukar
askIITians Faculty
605 Points
Dear student,
Please find the attached solution to your problem.
Let the first term of A.P. = a and common difference = d
pth term → a + (p-1)d = q     – (1)
qth term → a + (q-1)d = p     – (2)
eq(1) – eq(2)
(p-q)d = q-p
or, d = -1
putting d = -1 in eq(1) we get, a = p+q-1
Now, (p+q)th term →  a + (p+q-1)d
                              = p+q-1 - (p+q-1)
                              = 0
Hope it helps.
Thanks and regards,
4 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 101 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details