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Step by step text solution for If n geometric means are inserted between two quantities ; then the product of n geometric means is the nth power of the single geometric mean between two quantities. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.
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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
- Find the two numbers whose A.M. is 25 and GM is 20.
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- If A and G are respectively arithmetic and geometric mean between posi...
04:17
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- The sum of two numbers is 6 times their geometric means, show that nu...
03:43
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- If A.M. and GM. of roots of a quadratic equation are 8 and 5, respe...
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- If AM and GM of two positive numbers a\ a n d\ b are 10 and 8 respecti...
03:15
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- If the fifth term of a G.P. is 2, then write the product of its 9 t...
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- If (p+q)^(t h)a n d\ (p-q)^(t h) terms of a G.P. re m\ a n d\ n respec...
03:51
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- If (log)x a ,\ a^(x//2) and (log)b x are in G.P., then write the value...
01:38
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- If the sum of an infinite decreasing G.P. is 3 and the sum of the squa...
04:41
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- If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then...
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- If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M.s...
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- If second, third and sixth terms of an A.P. are consecutive terms of a...
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- If A and G are respectively arithmetic and geometric mean between posi...
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- If n geometric means are inserted between two quantities ; then the pr...
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- If a=1+b+b^2+b^3+...... to\ oo , then write b in terms of a given that...
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- If in an infinite G.P., first term is equal to 10 times the sum of all...
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- If the first term of a G.P. a1, a2, a3, ddot is unity such that 4a2+5...
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- If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^...
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- The first three of four given numbers are in G.P. and their last three...
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- If S be the sum P the product and R be the sum of the reciprocals of n...
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