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

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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 $n \geq 10$ ?

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