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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
The fifth term of a G.P. is 81 and its second term is 24. Find the geometric progression.
Find the geometric progression with 4th term = 54 and 7th term = 1458.
Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.
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 third term from the end of the G.P.
`2/27, 2/9, 2/3, .........,162.`
Q 5
Q 6
Find the sum of G.P. :
`1 - 1/3 + 1/3^2 - 1/3^3 + .........` to n terms.
Q 3.1
Find the sum of the sequence `-1/3, 1, -3, 9, ..........` upto 8 terms.
