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Question

If a,b,c are in A.P, then show that 10ax+10,10bx+10,10cx+10,x0 are in G.P

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Solution

a, b, c are in A.P
ba=cb=d (d=common difference)….(3)
10bx+1010ax+10=10bx+10ax10
=10x(ba) ……..(1)
10cx+1010bx+10=10cx+10bx10
=10(cb)x ………..(2)
From (1),(2) & (3)
10ax+10,10bx+10,10cx+10 are in G.P.

1069123_1159974_ans_ad1a84b5f5534a2e8c96928ad56fe95e.png

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