JEE Advance - Mathematics (1983 - No. 21)
Find three numbers $$a,b,c$$ between $$2$$ and $$18$$ such that
(i) their sum is $$25$$
(ii) the numbers $$2,$$ $$a, b$$ are consecutive terms of an A.P. and
(iii) the numbers $$b,c,18$$ are consecutive terms of a G.P.
(i) their sum is $$25$$
(ii) the numbers $$2,$$ $$a, b$$ are consecutive terms of an A.P. and
(iii) the numbers $$b,c,18$$ are consecutive terms of a G.P.
a = 4, b = 9, c = 12
a = 6, b = 7, c = 12
a = 5, b = 8, c = 12
a = 5, b = 7, c = 13
a = 4, b = 8, c = 13