# A.p hai ke nahi 6,10,14,17,............?

$\begin{array}{l}\text{Check whether }6,10,14,17....\ \text{is an airthmatic progression or not.}\\ \text{As we know that common difference of the }\text{A.P should be equal.}\\ \text{Common difference}\left(d\right)=2^{\text{nd}}\ \text{term}-1^{\text{st}}\text{term}=3^{\text{rd}}\text{term}-2^{\text{nd}}\ \text{term}=4^{\text{th}}\text{term}-3^{\text{rd}}\text{term}\\ \text{ }\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =10-6=14-10=17-14\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =4=4\ne3\\ \text{Since common difference is not equal hence the series is not A.P.}\end{array}$

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