Which term of the geometric sequence: `2sqrt(3),6,6sqrt(3),…..is 1458?`

Which term of the geometric sequences, (i) 2,8,32,....... is 131072? (ii) sqrt(3),3,3sqrt(3),……..is 729? (iii) 1/3,1/9,1/27…………….. is 1/19683 ?

Which term of the following sequences : (a) 2,2sqrt(2),4,...is 128? (b) sqrt(3),3,3sqrt(3),...is 729 ? (c) (1)/(3),(1)/(9),(1)/(27),...is (1)/(19683)

Which term of the following sequences: (a) 2,""""2sqrt(2),""""4,"" . . . is 128? (b) sqrt(3),""""3,""""3sqrt(3),"" . . . is 729? (c) 1/3,""""1/9,""""1/(27),"" . . . is 1/(19683)?

The 10^(th) term of sequence sqrt(3),sqrt(12),sqrt(27)"… is

Which term of the G.P. {sqrt(2),sqrt(6), 3sqrt(2), 3 ,sqrt6 is 243sqrt2 ?

Let A_6 be the sum of first six terms of an arithmetic sequence, and G_6 be the sixth term of a geometric sequence. Both sequences have the same first term, and the common difference of the arithmetic sequence equals the common ratio of the geometrical sequence, which is equal to two. If A_6/G_6=1/2, then G_6 - A_6 equals (i)1 (ii)3 (iii)48 (iv)144

Rationalize the denominator (6)/(2sqrt(3)+sqrt(6))

Write the following surds in decending order of their magnitudes : (i)3sqrt(2),6sqrt(3),9sqrt(4)" "(ii)3sqrt(3),4sqrt(5),sqrt(2),6sqrt(10)

(6 - sqrt 2)( 2+ sqrt 3)