CBSE Class 10 Answered
Find three terms in A.P., whose sum is 15 and the sum of whose squares is 83.
Asked by Amuthavalli Thayyal Gopala Krishnan | 23 Nov, 2013, 08:36: PM
Expert Answer
Let the three numbers in AP be a-d, a, a+d
Then,
sum = a-d+a+a+d=15
3a = 15
So, a = 5
Also, Sum of squares = 83
(a-d)2+a2+(a+d)2=83
(5-d)2+25+(5+d)2=83
25+d2-10d+25+25+d2+10d=83
75+2d2=83
2d2=8
d=+2 or -2
When d = 2,
The numbers are 3, 5, 7
When d = -2,
The numbers are 7, 5, 3
Answered by | 23 Nov, 2013, 11:43: PM
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