Which term of the following sequence:- `1/3,1/9,1/27`,.....is `1/19683` ?

which term of the following sequence : 1/3^1 , 1/3^2 , 1/3^3 ...is 1/3^5 ?

which term of the following sequence : 3^(1/2) , 3 , 3^(3/2) .....is 81?

Write the next term of the sequence : 1/6,1/3,1/2, .......

Write the next term of the sequence : 1/6,1/3,2/3, .......

Which term of the sequence : 20,19 1/4, 18 1/2, 17 3/4 , ..... is the first negative term ?

Which term of the sequence 24, 23 1/4, 22 1/2, 21 3/4, ….. is the first negative term ?

Find the sums of the indicated number of terms of the following geometric progressions : 1,1/3,1/9 .........., n terms, 5 terms.

Find the nth term of the sequence 5,2,-1,-4,-7, ...........

Find the sum of indicated number of terms of the following A.P.’s : -1, 1/4, 3/2 , ....... , 81 terms.

Factorize the following expressions 1+27x^3