Which term of the G.P. : (i) √2,1√2,12√2,14√2,....is1512√2 ?

1.	Which term of the G.P. : (i) √2,1√2,12√2,14√2,....is1512√2 ? (ii) 2, 2√2,4,....is128 ? (iii) √3,3,3√3,.....is729 ? (iv) 13,19,127...is119683 ?
Answer» Which term of the G.P. : (i) $\sqrt{2}, \frac{1}{\sqrt{2}}, \frac{1}{2 \sqrt{2}}, \frac{1}{4 \sqrt{2}}, . . . . i s \frac{1}{512 \sqrt{2}}$ ? (ii) 2, $2 \sqrt{2}, 4, . . . . i s 128$ ? (iii) $\sqrt{3}, 3, 3 \sqrt{3}, . . . . . i s 729$ ? (iv) $\frac{1}{3}, \frac{1}{9}, \frac{1}{27} . . . i s \frac{1}{19683}$ ?

Which term of the G.P. : (i) √2,1√2,12√2,14√2,....is1512√2 ? (ii) 2, 2√2,4,....is128 ? (iii) √3,3,3√3,.....is729 ? (iv) 13,19,127...is119683 ?

Answer»

Which term of the G.P. :

(i) $\sqrt{2}, \frac{1}{\sqrt{2}}, \frac{1}{2 \sqrt{2}}, \frac{1}{4 \sqrt{2}}, . . . . i s \frac{1}{512 \sqrt{2}}$ ?

(ii) 2, $2 \sqrt{2}, 4, . . . . i s 128$ ?

(iii) $\sqrt{3}, 3, 3 \sqrt{3}, . . . . . i s 729$ ?

(iv) $\frac{1}{3}, \frac{1}{9}, \frac{1}{27} . . . i s \frac{1}{19683}$ ?