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If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x...

If `(log)_3 2,(log)_3(2^x-5)a n d(log)_3(2^x-7/2)` are in arithmetic progression, determine the value of `xdot`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. The 5th, 8th and 11th terms of a GP are a,b,c respectively. Show that...

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

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

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

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

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

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

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

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  11. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

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  12. Which term of the AP 3,10, 17,... will be 84 more than its 13th term?

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  13. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  14. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

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  15. Find the number of multiples of 4 lies between 10 and 250.

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  16. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n t...

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  17. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

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  18. If k, 2(k+1), 3(k+1) are in GP, Then find the value of k.

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  19. If the first and the nth terms of a G.P are a and b , respectively, an...

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  20. Find the sum of first 10 evenwhole number.

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