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स० श्रे० \(\sqrt 2,\,\sqrt {8},\,\sqrt {18},\,\sqrt {32},\,..\) का सार्व-अंतर है 

(A) √3

(B) √2

(C) 2

(D) 3

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सही विकल्प है (B) \(\sqrt2\) 

\(\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \ldots\)

प्रथम पद \(a_{1}=\sqrt{2}\)

सार्व-अंतर, \(d=a_{2}-a_{1}\)

\( =\sqrt{8}-\sqrt{2}\)

\( =2 \sqrt{2}-\sqrt{2}\)

\( =\sqrt{2}\)

सार्व-अंतर, \(d=a_{3}-a_{2}\)

\( =\sqrt{18}-\sqrt{8}\)

\( =3 \sqrt{2}-2 \sqrt{2}\)

\( =\sqrt{2}\)

चूँकि \(a_{2}-a_{1}=a_{3}-a_{2},\) दी गई संख्याएँ स० श्रे० हैं।

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