Question

check whether 200 is any term of the following sequence 3,7,11,15​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge\bf{\underline{\underline{\red{Question}}}}$

$\bf{ \underline{ \orange{Given\:-}}}$

$\sf{a\:=\:3}$

$\sf{d\:=\:4}$

$\bf{ \underline{ \orange{To\:Find\:-}}}$

$\sf{Check\: whether\:200\:is\:any\:term\:of\:this\:}$$\sf{Sequence}$

$\huge\bf{\underline{\underline{\red{Solution}}}}$

$\sf{ \boxed{\ a_{n}\:=\:a+(n-1)d}}$

If the value of n will be any positive integar than it will possible that 200 is term of this sequence.

$\bf{Put\:value\:in\:formula}$

$\implies\sf{200\:=\:3+(n-1)4}$

$\implies\sf{200-3\:=\:(n-1)4}$

$\implies\sf{n-1\:=\:\dfrac{197}{4}}$

$\implies\sf{n\:=\:\dfrac{197}{4}+1}$

$\implies\sf{n\:=\:\dfrac{197+4}{4}}$

$\implies\sf{n\:=\:\dfrac{201}{4}}$

$\implies\sf{n\:=\:50.25}$

$\sf{It\:is\:not\: possible\:that\:n\:is\:in\: decimal\:So,\:200\:}$$\sf{is\:not\:a\: term\:of\:this\: sequence}$