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Which of the following are GP? If they a...

Which of the following are GP? If they are in G.P. Write next three terms?
(i) 4,8,16,…..
(ii) `1/3, -1/6, 1/12,`…….
(iii) 5,55,555,……..
(iv) `-2, -6, -18`,……..
(v) `1/2, 1/4, 1/6`,…….
(iv) `3,- -3^(2), 3^(3)`,……..
(vii) `x,1,1/x`,......... `(x ne 0)`
(viii) `1/sqrt(2), -2, 4sqrt(2)`,..........
(ix) 0.4, 0.04, 0.004,........

Text Solution

Verified by Experts

The correct Answer is:
(i) Yes; 32,64, 128 , (ii) Yes, `-1/24, 1/48, -1/96`
(iii) No, (iv) Yes, `-54, -162, -148`
(v) No
(vi) Yes, `-81, 243, -729` , (vii) yes, `1/x^(2), 1/x^(3), 1/x^(4)`,……
(viii) Yes, `-16, 32sqrt(2), -128`, (ix) Yes; 0.0004, 0.00004, 0.000004
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