Question

If N is natural number then construct following series

(i) N

2

(ii) N2

(iii) N2 – 1 (iv) N2 +N​

Answer 1

Answer:

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$\red {QUESTION:-}$

N is natural number then construct following series.

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

$(i) = {n}^{2}$

$(ii) = 2n$

$(iii )= {n}^{2} - 1$

$(iv) = {n}^{2} + 1$

$\green {ANSWER:-}$

⭐ Let 1 be the natural number....

$(i) = {n}^{2}$

$= ( {1})^{2}$

$= 1$

$\mathfrak {The \: obtained \: answer \: is \: a \: natural \: number}$

$(ii) = 2n$

$= 2(1)$

$= 2$

$\mathfrak {The \: obtained \: answer \: is \: also \: a \: natural \: number}$

$(iii) = {n}^{2} - 1$

$= ( {1})^{2} - 1$

$= 1 - 1$

$= 0$

$\mathfrak {The \: obtained \: answer \: can \: or \: cannot \: be \: a \: natural \: number}$

$(iv) = {n}^{2} + 1$

$= ( {1})^{2} + 1$

$= 1 + 1$

$= 2$

$\mathfrak {The \: obtained \: answer \: will \: be \: a \: natural \: number}$

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Answer 2

Answer:

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