Solve: 1 + + + ……… +
Find the equivalent expression for cos α.cos 2α.cos 22α …….. cos 2n–1α.
The smallest positive integer for which the statement 3n+1 < 4n holds is
The sum of the cubes of three consecutive natural numbers is divisible by
12n + 2.5n-1 is divisible by
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The inequality 2n–1 < n! is true for
which of the following statements is not divisible by 6 ?
The statement 2n+2 < 3n is true for
A student was asked to prove a statement P (n) by method of induction. He proved that P (3) is true ….
A student was asked to prove a statement P (n) by method of induction. He proved that P (3) is true and that P(n) ⇒ P (n + 1) for all natural numbers n. On the basis of this he concluded that P (n) is true for
Find the equivalent expression for + + + ……. + ∀ n ε N.
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