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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- If the sum of n terms of an A.P. is nP+1/2n(n-1)Q, where P and Q are c...
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- The sum of n terms of two arithmetic progressions are in the ratio (3...
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- The sum of four integar in A.P is 24 and their product is 945. Find th...
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- Find the sum of the series 1.n+2(n-1)+3(n-2)+.....n.1.
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- Find the sum of n terms of the series ab+(a-1)(b-1)+(a-2)(b-2)+.... if...
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- Insert 6 no. between 3 and 24 such that the resulting sequence is an ...
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- Between two no. whose sum is 13/6, an even no. of A.M's are inserted ....
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- Which term of the G.P. 2,8,32,.... upto n terms is 131072 ?
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- 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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