Request a call back

The sum of the first 7 terms of an AP is 63 and that of its next 7 terms is 161.find the AP
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
Let a be the first term of Aritnmetic Progression(AP) and d be the common difference of AP

Sum of n-terms of AP  is

If sum of first 7 terms is 63 , then we have

By simplifying above expression, we get

........................... (1)

If sum of next 7 terms is 161 , then sum of first 14 terms is ( 63+161) = 224

Hence , expression for sum of 14 terms is

........................... (2)

By solving eqn.(1) and eqn.(2) ,  we get  a = 3 and d = 2

Hence AP is  3 , 5, 7, 9 ..........................
Answered by Thiyagarajan K | 14 Nov, 2023, 10:51: AM

## Concept Videos

CBSE 10 - Maths
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
CBSE 10 - Maths
Asked by keshavsinghalhapur | 16 Jan, 2024, 08:46: PM
CBSE 10 - Maths
Asked by keshavsinghalhapur | 15 Jan, 2024, 10:56: AM
CBSE 10 - Maths
Asked by skandachiranjeevin | 06 Dec, 2023, 07:08: PM
CBSE 10 - Maths
Asked by prassanna.j | 13 Nov, 2023, 11:24: PM
CBSE 10 - Maths