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If `(p+q)t h` term of a G.P. is `a` and its `(p-q)t h` term is `b` where `a ,b` in `R^+`, then its pth term is (a).`sqrt((a^3)/b)` (b). `sqrt((b^3)/a)` (c). `sqrt(a b)` (d). none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. There are 4n + 1 terms in a sequence of which first 2n + 1 are in Arit...

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  3. If (p+q)t h term of a G.P. is a and its (p-q)t h term is b where a ,b ...

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  4. Find the sum of n terms of the series whose nth term is T(n)=tanx/(2^n...

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  5. Evaluate, sum(i = 0)^iinfty sum(j = 0)^infty sum(k = 0)^infty 1/(3^i c...

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  6. The first trem of a GP is -3 and the square of the second term is equa...

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  7. If log(2)(5.2^(x)+1),log(4)(2^(1-x)+1) and 1 are in A.P,then x equals

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  8. Find the geometric series whose 5th and 8th terms are 80 and 640 respe...

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  9. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

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  10. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  11. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  12. The 5th, 8th and 11th terms of a GP are a,b,c respectively. Show that...

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  13. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  14. If p be the first of n arithmetic means between two numbers and q be t...

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  15. Find the centre and radius of the circle: (x+5)^2+(y-3)^2=20

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  16. The interior angles of a polygon are in arithmetic progression. The sm...

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  17. If a1,a2,a3,.......an are in AP where a1 gt 0foralli then the value of...

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  18. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

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  19. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

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  20. The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is giv...

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