Question

Identify which among the given numbers in the option is not a term of the sequence $3,7,11,.....$

• A. $184$
• B. $183$
• C. $179$
• D. None of these

Answer 1

Answer: (A)

$184$

The given is $3,7,11$
Now, $7-3=4=11-7$

Therefore, difference between two consecutive terms is same

So, the given sequence forms an A.P
The common difference of the AP is $7-3=4$.
Let $184$ be the $n^{th}$ term.
Then $184=3+$ $(n-1)\times 4$
$\Rightarrow \frac{181}{4}=(n-1)$
$\Rightarrow n=45.25+1=46.25$
Since, $n$ is not a whole number. $184$ is not the term of this series.