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There are 5 terms in an …

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There are 5 terms in an A. P. The sum of these terms is 55,and the 4th term is 5 more than the sum of the first two terms. Find the A. p
  • 1 answers

Gaurav Seth 5 years, 4 months ago

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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