CBSE Class 10 Answered
how many terms of a.p. 9,17,25.. are required to get sum of 450?
Asked by Gayatri Narkhede | 01 Dec, 2013, 12:45: PM
Expert Answer
The AP is 9, 17, 25,.......
a (first term) = 9
d (common difference) = 17-9 = 8
Let n be the required number of terms.
Sn (sum of the n terms) = 450
We know that Sn = n/2 (2a + (n-1)d )
450 = n/2 (18 + (n-1)8 )
900 = n(18 + 8n -8)
900 = 8n2 + 10n
8n2 + 10n -900 = 0
8n2 +80n -90n -900 = 0
8n (n +10) -90 (n- 10) = 0
(n-10)(8n-90) = 0
n = 10 or 11.25
But n has to be a natural, since number of terms is always a natural number.
Thus, the required number of terms is 10.
Answered by | 01 Dec, 2013, 02:39: 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