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AAKASH SERIES-MATHEMATICAL INDUCTION-PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)
- Sum of the series S=t^(2) - 2^(2) + 3^(2) - 4^(2) + …... - 2002^(2) + ...
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- (sumn^(3) ) ( sumn) = (sumn^2) ^2 if
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- n^( th) term of the series 4+14+ 30 + 52+ …..
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- If 1+ 5+ 12+ 22 + 35+ ….. + to n terms = ( n^(2) (n+1) )/(2) then n^...
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- 1+ 3+ 7 + 15…n terms =
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- 1^(2) + 3^(2) + 5^(2) + …. upto n terms =
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- 2+ 3.2 + 4.2^(2) + …... upto n terms =
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- (1^(2) )/( 1) + (1^(2) + 2^(2) )/(1+2) + (1^(2) + 2^(2) + 3^(2) )/( 1...
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- Sum of first 'n' terms of the series = (3)/(2) + (5)/(4) + (9)/(8) + (...
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- 0.2 + 0.22 + 0.222+ …. upto n terms is equal to
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- 2+7+14+…..+ (n^(2) + 2n-1)=
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- 1.6 + 2.9+ 3.12+ ….. + n ( 3n+3)=
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- 2.4 + 4.7 + 6.10+ …. upto (n-1) terms=
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- sum(n=0)^( oo) (-1)^(n) x^( n+1)=
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- sum(k=1)^(2n+1) (-1)^(k-1) k^2 =
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- cos theta + cos 2 theta + cos 3 theta + …. + cos { (n-1) theta}+ cos n...
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- If P (n) = 1+2+3+ …. + n is a perfect square N^(2) and N is less than...
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- 1 + (x)/( a1) + ( x( x+a1) )/( a1 a2 ) + .... + ( x ( x+a1) (x+ a2)......
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- (1)/(2) tan"" ((x)/(2) ) + (1)/( 4) (tan"" (x)/(4) ) + ...... + (1)/(2...
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- For any integer n ge 1, then sum(k=1)^(n) k ( k+2) is equal to
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