CameraIcon

CameraIcon

SearchIcon

MyQuestionIcon

MyQuestionIcon

Properties of Multiplication of Integers

7 If the sum ...

Question

7 If the sum of all positive rational numbers n such that n +84n+1941 is an integer is 189/k,then find k.

Open in App

Solution

Suggest Corrections

thumbs-up

0

BNAT

mid-banner-image

Similar questions

N

denotes set of all positive integers and if

f : N ⟶ N

f (n)

=

the sum of positive divisors of

n

f (2^{k} .3)

^{'} k^{'}

is a positive integer is

n

k

be positive integers such that

n \geq \frac{k (k + 1)}{2}

. Find the number of solutions

(x_{1}, x_{2}, . . ., x_{k}), x_{1} \geq 1, x_{2} \geq 2, x_{k} \geq k

all integers satisfying

x_{1} + x_{2} + . . . + x_{k} = n

.Assume k=5 and n=15 .

S_{n}

be the sum of all integers k such that

2^{n} < k < 2^{n - 1}

, for n > 1, Then

9

S_{n}

S_{n}

be the sum of all integers k such that

2^{n} < k < 2^{n + 1},

n \geq 1

S_{n}

n

is positive integer and

k

is a positive integer not exceeding

n

n \sum k = 1 k^{3} {(\frac{^{n} C_{k}}{^{n} C_{k - 1}})}^{2} = \frac{n {(n + 1)}^{2} (n + 2)}{12}

View More

Explore more

Properties of Multiplication of Integers

Standard VII Mathematics