A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- The sum of the first 100 terms common to the series 17, 21, 25, 29...
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- in an AP , Sp=q , Sq=p and Sr denotes the sum of the first r terms. Th...
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- Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...
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- If S(n) is the sum of the first n terms of an A.P. then :
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- If mth term of am A.P.is 1/n and nth term is 1/m find the sum of first...
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- The first term of an A.P. is a and the sum of first p terms is zero, s...
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- Given an A.P. whose terms are all positive integers. The sum of its fi...
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- If the sum of m terms of an A.P. is equal to the sum of either the nex...
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- if S1 , S2 , S3..........,Sq are the sums of n terms of q ,AP's whose ...
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- If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...
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- The number of terms in an AP is even. The sum of the odd terms is 24 w...
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- The ratio of the sums of n terms of two Aps is (3n-13) : (5n+21). Find...
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- Find the AP in which the ratio of the sum to n terms to the sum of suc...
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- If x,2x+2,3x+3 are the first three terms of a GP, find the fifth term ...
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- In a GP, t4=27 and t7=729. Find t(11) where tn denotes the nth term.
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- In a GP, t4=27 and t7=729. Find t(11) where tn denotes the nth term.
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- In a GP, t(p+q)=a and t(p-q)=b. Prove that tp=sqrt(ab).
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- If the pth, qth and rth terms of a G.P. are a,b and c, respectively. ...
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- If a be the first term, b be the nth term and P be the product of n te...
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- If a,b,c are in GP, prove that (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2).
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