CBSE Class 10 Answered
hoe can we get the first negativ e term of an ap like 20, 19*1/4, 18*1/2, ......................... and the term
Asked by | 16 Dec, 2012, 10:30: PM
Expert Answer
The given A.P is 20, 19 (1/4), 18 (1/2), 17 (3/4),......
Hence, a = 20
d = 19 (1/4) - 20 = -(3/4)
Let the nth term of the A.P be the first negative term. Then,
an < 0
=> a + (n - 1) d
=> 20 + (n - 1) (-3/4) < 0
=> 20 < (n - 1) (3/4)
=> (n - 1) (3/4) > 20
=> (n - 1) > 20/ (3/4)
=> (n - 1) > 20 x 4/3
=> (n - 1) > 80/3
=> n > 80/3 + 1
=> n > (80 + 3)/3
=> n > 83/ 3
=> n > 27 (2/3)
Least integral value of n = 28. Hence, 28nd term of the given A.P is the first negative term .
Answered by | 18 Dec, 2012, 10:08: AM
Application Videos
-
Arithmetic Progression - 1
This video explains the concept of Arithmetic Progression, Solving Linear E... -
Sum of an n Terms of an A.P.
This video explains the concept of how to find the nth term of a Arithmetic... -
nth term of an A.P.
This video explains the concept of nth term of an Arithmetic Progression. -
Arithmetic Progression - 2
This video explains the concept of how to find an Arithmetic Progression. -
Nth term of an AP - 1
This video explains a case study based question covering the concept of ...
Concept Videos
-
Introduction to Arithmetic Progression
This video explains the identification of series which is mathematically kn... -
nth Term of an A.P.
Problems related to the calculation of nth term in an Arithmetic progressi... -
Determine terms of an arithmetic progression
Determine the terms of an arithmetic progression when given the number of t... -
Word Problems of A.P.
This video explains the concept of the nth term and the sum of the first n ... -
Introduction to Arithmetic Progression
This video explains the identification of series, mathematically known as A...
CBSE 10 - Maths
Asked by purbashadebnath1980 | 09 Mar, 2024, 12:10: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by keshavsinghalhapur | 16 Jan, 2024, 08:46: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by keshavsinghalhapur | 15 Jan, 2024, 10:56: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by durgauikey7000 | 08 Dec, 2023, 08:16: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by skandachiranjeevin | 06 Dec, 2023, 07:08: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by shaikhyakub9946 | 30 Nov, 2023, 11:50: AM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:23: PM
ANSWERED BY EXPERTCBSE 10 - Maths
Asked by latayadav23 | 17 Oct, 2023, 08:39: PM
ANSWERED BY EXPERT
