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.
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

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

                        

In an A.P 2,5,8....., upto 50 terms ,and 3,5,7,9,... upto 60 terms, find how many terms are identical?

6 years ago

Answers : (1)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							For first AP,
An = 2 + (x-1)3 = 3x - 1 where 0<x<51
For second AP,
Bn = 3 + (y-1)2 = 2y + 1 where 0<y<61
Now, for An = Bn
3x-1 = 2y + 1
3x - 2y = 2
where x and y are integers.
When x is an even no. , it satisfies this condition. Hence,
x=2, y = 2
x=4, y = 5
x=6, y = 8
.
.
.
.
x =40 , y= 59
Hence, 20 terms are identical.
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi
6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

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


Course Features

  • 731 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
Vouchers
To Win!!! Click Here for details