Question

check whether 301 is a term of the number 5,11,17,32​

Answer 1

Answer:

Not, it is not a term of the AP.

Step-by-step explanation:

We are given the AP 5,11,17,32....

Here,

$a=5\\d=6$

We have to find whether 301 is a term of this AP.

If 301 was a term, then its term value would be a positive integer.

Hence we equate,

$a_n=a+(n-1)d$ where $a_n$ is 301.

$5+6(n-1)=301$

$6(n-1)=296$

$n-1=\frac{296}{6}=49.3333$

and, $n=50.33333$

It is observed that n is not a positive integer. Hence, 301 is not a term of the AP.

Hope it helps.