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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- Find the least value of n for which 1+3+3^2+....+3^(n-1) gt 1000.
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- If p^th ,q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove tha...
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- Find the sum of first n terms and the sum of first 5 terms of the geom...
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- How many terms of the G.P 3,3/2,3/4 ...... are needed to give the sum ...
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- If a1,a2,a3(a1 gt0) are in G.P with common ratio r, then the value of...
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- The sum of first three terms of a G.P is 13/12 and their products is -...
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- Find the sum of the sequence 7,77,777,7777,......to n terms.
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- Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...
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- If x=1+a+a^2+a^3+......infty and y=1+b+b^2+b^3+......infty show that 1...
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- If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...
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- If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1-1/2^2+1/3^2...
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- Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...
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- Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite...
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- If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2
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- If a,b,c are in H.P. show that a/(b+c),b/(c+a),c/(a+b) are also in H.P...
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- Prove that the sum of n arithmatic means between two numbers is n time...
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- Find the sum to n terms of the series: 5+11+19+29+41.....
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- Find the sum of n terms of the series 3+7+14+24+37+.....
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- Find the sum of series 3+8+22+72+266+1036+....
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- Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.
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