Question

Check whether 301 is a term of the list of numbers 5,11,17,23,......

Answer 1

Hey dear,

The answer is no because in every gap like between 5 and 11 there is a gap of 6 so if you 301 does not come in the series of 6..

Hence 301 will not come here

.

hope it helps

have a nice day dear

keep growing

Answer 2

Answer:-

$\small\sf{a2-a1=11-5=6}$

$\small\sf{a3-a2=17-11=6}$

$\small\sf{a4-a3=23-17=6}$

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As ak+1 - ak is the same for k = 1,2,3,etc....., the given list of numbers is an AP

$\small\sf{Now,a=5\:and\:d=6}$

Let 301 be a term, the nth term of this AP.

$\small\sf{We\:know\:that,}$

$\small\sf{an=a+(n-1)d}$

$\small\sf{301=5+(n-1)6}$

$\small\sf{301=6n-1}$

$\small\sf{n=\frac{302}{6}=\frac{151}{3}}$

But n should be a positive integer.

So, 301 is not a term of the given list of numbers.