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प्रश्न
Find, which of the following sequence from a G.P. :
8, 24, 72, 216, .............
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उत्तर
Given sequence: 8, 24, 72, 216, .............
Now,
`24/8 = 3, 72/24 = 3, 216/72 = 3`
Since `24/8 = 72/24 = 216/72` = ........ = 3, the given sequence is a G.P. with common ratio 3.
संबंधित प्रश्न
Find, which of the following sequence from a G.P. :
9, 12, 16, 24, ................
Find the 9th term of the series :
1, 4, 16, 64, ...............
The fifth, eight and eleventh terms of a geometric progression are p, q and r respectively. Show that : q2 = pr.
If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.
Q 6
How many terms of the geometric progression 1 + 4 + 16 + 64 + …….. must be added to get sum equal to 5461?
Find the sum of G.P. : 3, 6, 12, .........., 1536.
The first term of a G.P. is –3 and the square of the second term is equal to its 4th term. Find its 7th term.
Find the 5th term of the G.P. `5/2, 1, .........`
Find the sum of the sequence `-1/3, 1, -3, 9, ..........` upto 8 terms.
