CBSE Class 10 Answered
How many terms are identical in APs 1,3,5,.... upto 120 terms and 3,6,9,.... upto 80 terms?????
Asked by Palak Shrivastava | 11 Nov, 2013, 06:37: AM
Expert Answer
AP1 : 1, 3, 5, ...
In this AP, a = 1 and d = 2
T120 = a + (120-1)d = 1 + 119*2 = 239
So this AP contains all the odd numbers from 1 till 239.
AP2 : 3, 6, 9, ...
In this AP, a = 3 and d = 3
T80 = a + (80-1)d = 3 + 79*3 = 240
So this AP contains all the multiples of 3 from 3 till 240.
Since every second multiple of 3 (starting from 3) is an odd number, hence every second term of the AP2 (starting from first term) is also in AP1.
So total number of terms in AP2 which are in AP1 as well are 80/2 = 40.
Answered by Rashmi Khot | 11 Nov, 2013, 09:55: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by purbashadebnath1980 | 09 Mar, 2024, 12:10: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 16 Jan, 2024, 08:46: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by keshavsinghalhapur | 15 Jan, 2024, 10:56: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by durgauikey7000 | 08 Dec, 2023, 08:16: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by skandachiranjeevin | 06 Dec, 2023, 07:08: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by shaikhyakub9946 | 30 Nov, 2023, 11:50: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:23: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by latayadav23 | 17 Oct, 2023, 08:39: PM
ANSWERED BY EXPERT