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Find: the 10th term of the G.P. sqrt(2),...

Find: the 10th term of the G.P. `sqrt(2),1/(sqrt(2)),1/(2sqrt(2)), `

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`Tn= ar^(n-1)`
`a = sqrt2,`
` r = (1/sqrt2)/(sqrt2) = 1/2 `
` T_10 = sqrt2(1/2)^(10−1) `
`= sqrt2/(512) = 1/(256sqrt2)`
The 10 terms is `1256sqrt2`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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  2. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

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  3. Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

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  4. Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , ,...

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  6. Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)),...

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  7. Which term of the G.P.: 2,\ 2\ sqrt(2),\ 4,\ doti s\ 128 ?

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  8. Which term of the G.P.: \ sqrt(3),3,3sqrt(3), i s\ 729 ?

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  9. Which term of the G.P.: 1/3,1/9,1/(27) i s1/(19683)?

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  10. Find the 4th term from the end of the G.P. 1/2,1/6,1/(18),1/(54), ,1/...

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  11. The fourth term of a G.P. is 27 and the 7th term is 729, find the G....

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  12. The 7th term of a G.P. is 8 times the 4th term and the 5th term is 4...

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  13. If the G.Ps 5 , 10, 20, and 1280, 640, 320 have their nth terms equ...

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  14. The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Sh...

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  15. The 4th term of a G.P. is square of its second term and the first t...

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