gneet    TOPIC : sequence and series additional Number of questions are 151
Paper 4 eco detailed solutions

EXERCISE SET 6 A Q.1
Q.1)If a, b, c are in A.P. as well as in G.P. then –

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a, b, c are in A.P.
∴a+c = 2b
⇒ b = (a+c)/2 ---(i)
a, b, c are in G.P.
∴ b2 = ac ---(ii)
Reciprocals are 1/a, 1/b, 1/c

∴ 1/a, 1/b, 1/c are in A.P.
∴ a, b, c are also H.P.
Answer : (c)




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