If underset(r=1)overset(n)Sigmar^4=I(n),...

If `underset(r=1)overset(n)Sigmar^4=I(n), " then "underset(r=1)overset(n)Sigma(2r -1)^4` is equal to

f(2n)-16f(n)

f(2n)-7f(n)

f(2n-1)-8f(n)

none of these

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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise

If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...
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Given two numbers a and b. Let A denote the single A.M. and S denote t...
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If underset(r=1)overset(n)Sigmar^4=I(n), " then "underset(r=1)overset(...
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0. 423 is equivalent to the fraction (94)/(99) (b) (49)/(99) (c) ...
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If a,b,c are in A.P and a^2,b^2,c^2 are in H.P then which is of the fo...
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The harmonic mean of two numbers is 4. Their arithmetic mean A and the...
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The sixth term of an A.P., a1,a2,a3,.............,an is 2. If the quan...
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If (x+y)/(1-xy),y,(y+z)/(1-yz) be in A.P., " then " x,(1)/(y),z will b...
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If a , b, c, be in A.P. , b, c,d in G.P. and c.d.e.in H.P., then prov...
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Three non-zero real numbers from an A.P. and the squares of these numb...
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If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...
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The n^(th) term of the sequence 4,14,30,52,80,114, . . . ., is
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If |x|<1a n d|y|<1, find the sum of infinity of the following series: ...
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If S(1),S(2)andS(3) denote the sum of first n(1)n(2)andn(3) terms resp...
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If |a| < 1 and |b| < 1, then the sum of the series a(a+b)+a^2(a^2+b^2)...
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If log(x)a, a^(x//2), log(b)X are in G.P. then x is equal to
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If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...
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If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log(e)2] ...
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The value of 0.2
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If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...
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