For an integer n let S_n={n+1, n+2, ldots ldo | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(d)

We have,

$S_n=\{n+1, n+2, n+3, \ldots, n+18\},$

$n \geq 10$

(a) $n=19$, then $S_n$ has not a multiple of 19 .

Hence, option (a) is

Vedclass · Accepted Answer

$S_n$ has at most six primes

Vedclass · Answer

(d)

We have,

$S_n=\{n+1, n+2, n+3, \ldots, n+18\},$

$n \geq 10$

(a) $n=19$, then $S_n$ has not a multiple of 19 .

Hence, option (a) is false.

(b) $S_n$ has more than one prime for $n \geq 10$.

(c) $n=10$

11,28

Only $15,20,25$ are multiple of $5 .$

(d) Number of odd integer in $S_n=9$

So, every third integer is multiple of $3$.

$	herefore S_n$ has at most six primes.

For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?

Similar Questions

Let $A=\{a, e, i, o, u\}$ and $B=\{a, i, u\} .$ Show that $A \cup B=A$

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If $x \in A$ and $A \in B,$ then $x \in B$

Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

$ 0\, ........\, A $

The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to

List all the elements of the following sers :

$C = \{ x:x$ is an integer ${\rm{; }}{x^2} \le 4\} $