An arithmetic progression consists of three terms whose sum is 15 and sum of the sqaures of extremes is 58. Find the terms of Progression?
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i have solved the question but I m not totally sure about the ans..plz verify it firstly..☺☺
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Hemanth11110:
that's right
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let three terms be a-d,a,a+d
a-d+a+a+d=15
3a=15
a=5
A.T.Q
(a-d)^2+(a+d)^2=58
(5-d)^2+(5+d)^2=58
25+d^2-10d+25+d^2+10d=58
2d^2+50=58
d^2=4
d=2
a-d=5-2=3
a=5
a+d=5+2=7
A.P. 3,5,7
a-d+a+a+d=15
3a=15
a=5
A.T.Q
(a-d)^2+(a+d)^2=58
(5-d)^2+(5+d)^2=58
25+d^2-10d+25+d^2+10d=58
2d^2+50=58
d^2=4
d=2
a-d=5-2=3
a=5
a+d=5+2=7
A.P. 3,5,7
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