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Can someone please explain this line :-"The constant force is a special kind of a spatially dependent force."
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1^2 + 2^2 + 3^2 +? + n^2(sum of squares of the first n natural numbers) and 1^3 + 2^3 + 3^3 +? + n^3(sum of cubes of the first n natural numbers). does anybdy know the derivation ?
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yeah @ rahul raghavendra correct
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is it (A+B)/2sqr root(AB) ?
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the answers are 120, 480, 30 (2n) i doubt they are wrong .
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If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, thenobtain the quadratic equation.
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The number of bacteria in a certain culture doubles every hour. If there were 30bacteria present in the culture originally, how many bacteria will be present at theend of 2nd hour, 4th hour and nth hour ?
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The sum of two numbers is 6 times their geometric means, show that numbersare in the ratio (3+2square root(2)):(3?2square root (2)) .
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Find the value of n so that [{a^(n+1)+b^(n+1)}/a^n+b^n] may be the geometric mean betweena and b.
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If a, b, c and d are in G.P. show that(a^2 + b^2 + c^2) (b^2 + c^2 + d^2) = (ab + bc + cd)^2 .
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can someone give a better explanation plz no offence to the ans above but nt getting
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Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)th to (2n)th term is 1/r^n
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@Akshay in the a^n(r)^(n(n-1)/2) you took a^n common but there is already an a outside the parenthesis so sudn't it be a^(n+1) ?
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If the first and the nth term of a G.P. are a and b, respectively, and if P is theproduct of n terms, prove that P^2=(ab)^n.
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with how many flag is one signal made ?
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20. Show that the products of the corresponding terms of the sequences a, ar, ar2,?arn ? 1 and A, AR, AR2, ? ARn ? 1 form a G.P, and find the common ratio
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19. Find the sum of the products of the corresponding terms of the sequences 2, 4, 8,16, 32 and 128, 32, 8, 2, 1/2.
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If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x,y, z are in G.P.
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The sum of first three terms of a G.P. is 16 and the sum of the next three terms is128. Determine the first term, the common ratio and the sum to n terms of the G.P.
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