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 arithmetic progression.
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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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