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प्रश्न
Find, which of the following sequence from a G.P. :
9, 12, 16, 24, ................
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उत्तर
Given sequence: 9, 12, 16, 24, ................
Now,
`12/9 = 4/3, 16/12 = 4/3,24/16 = 3/2`
Since `24/8 = 72/24 ≠ 216/72`, the given sequence is not a G.P.
संबंधित प्रश्न
Which term of the G.P.:
`-10, 5/sqrt(3), -5/6,....` is `-5/72`?
If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.
The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.
Find the seventh term from the end of the series :
`sqrt(2), 2, 2sqrt(2), ........., 32.`
Q 1.2
Q 2
If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.
If a, b, c are in G.P. and a, x, b, y, c are in A.P., prove that `1/x + 1/y = 2/b`
Find the sum of G.P. : 3, 6, 12, .........., 1536.
Find the 5th term of the G.P. `5/2, 1, .........`
