the sum of ghree number are in a.p. is 21 . if the second number is reduced by 1 while the third is increased by 1 results in g.p. find the numbers
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let the three numbers in a.p be a, a + d, a+ 2d
a+a+d+a+2d=21
a+d=7
a=7-d
the no.s in g.p are
(a+d-1)^2=a(a+2d+1)
(7-d-1)^2=7-d(7-d+2d+1)
d=4 or d= -5
when d= 4
the no.s are a=3
a+d=7
a+2d=11
a+a+d+a+2d=21
a+d=7
a=7-d
the no.s in g.p are
(a+d-1)^2=a(a+2d+1)
(7-d-1)^2=7-d(7-d+2d+1)
d=4 or d= -5
when d= 4
the no.s are a=3
a+d=7
a+2d=11
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