Math, asked by manjularb, 10 months ago

There are five terms in an Arithmetic Progression. The sum of these terms
is 55, and the fourth term is five more than the sum of the first two terms.
Find the terms of the Arithmetic progression.​

Answers

Answered by Manishnitrr2010
73

Step-by-step explanation:

AP TERMS ARE 3,7,11,15,19

Answered by amitnrw
78

Given :   There are five terms in an Arithmetic Progression. The sum of these terms  is 55, and the fourth term is five more than the sum of the first two terms.

To find :  terms of the Arithmetic progression.​

Solution:

Let say AP is  

a , a + d , a + 2d  , a + 3d  , a  + 4d  

Sn = (n/2)(2a + (n-1)d )

Sum of 5 terms

= (5/2)(2a + 4d)  = 55

=> a + 2d  =  11

fourth term is five more than the sum of the first two terms.

=> a + 3d  = 5 + a + a + d

=>   2d  -  a  = 5

Adding both

=> 4d = 16

=> d  = 4

=> a  = 3

AP

3  ,  7  , 11 ,    15  , 19  

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