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Frequently Asked maths Math Questions and Answer Page 22

(#M40020196) MATHS QUESTION Keep an EYE

For how many integers n > 1 is x49 congruent to x (modulo n) true for all integers x?

Asked In maths AISHWARYA (12 years ago)

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(#M40020195) MATHS QUESTION Keep an EYE

Show that, for all integers m and n, mn(m420 − n420) is divisible by 446617991732222310.

Asked In maths AISHWARYA (12 years ago)

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(#M40020194) MATHS QUESTION Keep an EYE

The terms of a sequence of positive integers satisfy an+3 = an+2(an+1 + an), for n = 1, 2, 3, ... .
If a6 = 8820, what is a7?

Asked In maths AISHWARYA (12 years ago)

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(#M40020193) MATHS QUESTION Keep an EYE

Let n be a positive integer. Prove that n! + 1 is composite for infinitely many values of n.

Asked In maths AISHWARYA (12 years ago)

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(#M40020192) MATHS QUESTION Keep an EYE

A triangle has two acute angles, A and B. Show that the triangle is right-angled if, and only if, sin2A + sin2B = sin(A + B).

Asked In maths AISHWARYA (12 years ago)

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(#M40020191) MATHS QUESTION Keep an EYE

how that, for each n greater than or equal to 3, n! can be represented as the sum of n distinct divisors of itself. (For example, 3! = 1 + 2 + 3.)

Asked In maths AISHWARYA (12 years ago)

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(#M40020190) MATHS QUESTION Keep an EYE

Let a, b, and c be positive real numbers such that abc = 1. Show that a2 + b2 + c2 less than or equal to a3 + b3 + c3.

Asked In maths AISHWARYA (12 years ago)

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(#M40020189) MATHS QUESTION Keep an EYE

Let x be a real number. Which is greater, sin(cos x) or cos(sin x)?

Asked In maths AISHWARYA (12 years ago)

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(#M40020188) MATHS QUESTION Keep an EYE

Let x, y, n be positive integers, with n > 1. How many solutions are there to the equation xn − yn = 2100?

Asked In maths AISHWARYA (12 years ago)

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(#M40020187) MATHS QUESTION Keep an EYE

Show that 1 + x + x2/2! + x3/3! + ... + x2n/(2n)! is positive for all real values of x.

Asked In maths AISHWARYA (12 years ago)

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