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प्रश्न
Find, which of the following sequence from a G.P. :
`1/8, 1/24, 1/72, 1/216, ................`
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उत्तर
Given sequence: `1/8,1/24,1/72,1/216, ................`
Now,
`(1/24)/(1/8) = 1/3, (1/72)/(1/24) = 1/3, (1/216)/(1/72) = 1/3`
Since `(1/24)/(1/8) = (1/72)/(1/24) = (1/216)/(1/72) = .......... = 1/3,` the given sequence is a G.P. with common ratio `1/3`.
संबंधित प्रश्न
Find the 9th term of the series :
1, 4, 16, 64, ...............
Which term of the G.P.:
`-10, 5/sqrt(3), -5/6,....` is `-5/72`?
The product of 3rd and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.
Q 6
Q 7
If a, b and c are in A.P, a, x, b are in G.P. whereas b, y and c are also in G.P.
Show that : x2, b2, y2 are in A.P.
Find the sum of G.P. :
0.3 + 0.03 + 0.003 + 0.0003 + ........... to 8 items.
Find the sum of G.P. :
`sqrt(3) + 1/sqrt(3) + 1/(3sqrt(3)) + ..........` to n terms.
Find the geometric mean between `4/9` and `9/4`
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.
