A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- If (x+y)/(2),y,(y+z)/(2) are in HP, then x,y, z are in
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- If a, b, c, d be four numbers of which the first three are in AP and t...
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- Suppose a is a fixed real number such that (a - x)/(px) = (a - y)/(qy)...
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- If a,b,c,d be in G.P. and a^x=b^y=c^z=d^w, prove that 1/x,1/y,1/z,1/w ...
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- If three numbers are in G.P., then the numbers obtained by adding the ...
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- If a, b, c, are both in G.P. and H.P., Tp= 0, Tq = b, Tr= C, then a (...
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- If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP ...
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- If x,y and z are in A.P ax,by and cz in G.P and a, b, c in H.P then p...
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- a, b, x are in AP, a, b, y are in GP and a, b, z are in HP, then prove...
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- If a , b , c , are in A P ,a^2,b^2,c^2 are in HP, then prove that eith...
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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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- If a, b, c, d, e be 5 numbers such that a, b, c are in AP, b, c, d, ar...
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- The values of xyz is 15/2 or 18/5 according as the series a, x, y, z, ...
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- In a A.P & an H.P have the same first term, the same last term & the s...
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- l, m, n are three numbers in G.P., a is the first term of an A.P., who...
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- Three unequal numbers are in HP and their squares are in AP. Show that...
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- Insert 12 arithmetic means between -3.5 and -42.5.
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- Insert 6 geometric means between 27 and 1/(81)dot
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- Find the 5th harmonic mean when n harmonic means are inserted between ...
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- If n A.Ms are inserted between two numbers, prove that the sum of the ...
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