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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-MATHEMATICAL INDUCTION-Exercise 2 (a)
- 1 ^(2) + 2^(2) + 3^(2) + . . . + n^(2) = (n (n + 1) (2 n + 1))/( 6)
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- 2 . 3 + 3.4 + 4.5 + ... upto n terms
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- Prove by the method of induction, (1)/( 1.3) + (1)/( 3.5) + (1)/( 5.7...
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- 4^(3) + 8^(3) + 12^(3) + . . . upto n terms = 16n^(2) (n + 1)^(2)
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- Using Mathematical induction. For all n in N. Show that a+(a+d)+(a+2...
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- Using the principle of finite Mathematical Induction prove the followi...
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- 2 + 7 + 12 + . . . + (5 n - 3) = (n(5 n -1))/(2)
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- (1 + (3)/(9))(1 +(5)/(4)) (1+ (7)/(9)). . . (1 + (2v +1)/(v^(2))) = (n...
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- Prove the following (2 n + 7) lt (n + 3)^(2)
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- 1^(2) + 2^(2) + . . . + n^(2) gt (v^(3))/( 3)
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- 4^(n) - 3n - 1 is divisible by 9
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- Using the principle of finite Mathematical Induction prove the followi...
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- 1.2.3. + 2.3.4 + 3.4.5 + . . . upto n terms =(n (n + 1) (n + 2) (n + ...
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- Prove That (1^(3))/( 1) + (1^(3) + 2^(3))/(1+3) + (1^(3) + 2^(3) + 3^(...
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- Using the principle of finite Mathematical Induction prove that 1^(2...
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