 ## Solve: 1 +  +  + ……… + ….

Solve: 1 +  +  + ……… +

## Find the equivalent expression for cos α.cos 2α.cos 22α …….. cos 2n-….

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 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….

The sum of the cubes of three consecutive natural numbers is divisible by

## 12n + 2.5n-1 is divisible by….

12n + 2.5n-1 is divisible by

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## The inequality 2n-1 < n! is true for….

The inequality 2n–1 < n! is true for

## which of the following statements is  not divisible by 6 ?….

which of the following statements is  not divisible by 6 ?

## The statement 2n+2 < 3n is true for….

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 ….

Find the equivalent expression for  +  +  + ……. + ∀ n ε N.

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