Geometric Progression

In the series 2, 6, 18, 54, ... what will be the 8th term ?

Find the sum of the following series:

$\left(2+2^2+2^3+........+2^9\right)=?$

If $1 + 10 + {10}^2 + .............$ upto $n$ terms$=\frac{{10}^n-1}{9}$, then the sum of the series $4 + 44 + 444 + .........$ upto $n$ term is _____.

How many terms are there in the G.P. $3, 6, 12, 24,......,384$?

What should come in place of $?$ in the following number series?

How many terms are there in the G.P.$3, 6, 12, 24, ... , 384 ?$

In the series $7, 14, 28, ...$, what will be the ${10}^{th}$ term ?

What should come in place of $?$ in the following number series?

What is the $7^{th}$ term of this G.P series  $27,9,3..............?$

What is the $9^{th}$term of this G.P series $24,12,6,3.....is?$

What is the of $6^{th}$term of this G.P series $15,5,\frac{5}{3}......?$

What is the $6^{th}$ term of this G.P series  $\frac{1}{16},\frac{1}{8}.\frac{1}{4}.........?$

What is the $8^{th}$ term of G.P series $16,8,4,2.........?$

What is the sum of $5^{th}$ term of the series $4,16,64........?$

What is the sum of $5^{th}$term of this G.P series $3,9,27.............?$

Evaluate :$\sum _{k=1}^{11}\left(3+2^k\right)$.

How many terms of the geometric progression $5+ 15+ 45+135......$ must be added to get sum equal to $5465$?

Find the sum of Geometric Progression:

$\frac{x+y}{x-y}+1+\frac{x+y}{x-y} + ......$  upto $\mathrm{n}$ terms.

$$What is the ${10}^{th}$ term of G.P series  $2,6,18,54..........$$?$

What is the $n^{th}$ term of this G.P series $10,20,40.........$is $1280?$