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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.
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- If (a-x)/(p x)=(a-y)/(q y)=(a-z)/(rz) and p ,q ,and r are in A.P., the...
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- Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......
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- Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot
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- If H is the harmonic mean between P and Q then find the value of H//P+...
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- If Tr=r(r^2-1), then find sum(r=2)^oo1/Trdot
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- Insert four H.M.’s between 2/3 and 2/13.
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- If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G...
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- The A.M. and H.M. between two numbers are 27 and 12, respectively, t...
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- If a ,a1, a2, a3, a(2n),b are in A.P. and a ,g1,g2,g3, ,g(2n),b . are...
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- If nine arithmetic means and nine harmonic means are inserted between ...
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- If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove tha...
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- Find two numbers whose arithmetic mean is 34 and the geometric mean is...
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- If a,b,c ,d and p are distinct real number such that (a^2+b^2+c^2)p^2-...
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- If A.M. and G.M. between two numbers is in the ratio m : n then prove...
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- Prove that (666....6)^2+(888....8)=4444.....4.
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- If a is the A.M. of b and c and the two geometric mean are G1 and G2...
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- If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...
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- The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find it...
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- Find the number of common terms to the two sequences 17,21,25,...,417 ...
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