Question

What is the sum of the geometric series...

Answer 1

\[\sum_{n=1}^{10} 6(2)^x\]

Answer 2

well its as shown below

\[S_{n} = \frac{a( 1 - r^n)}{1 - r}\]

n = number of terms, a = 1st term and r = common ratio.

Answer 3

so looking at your information substitute n =1, n= 2 n = 3

to see the sequence is 12, 24, 48, ...

n = 10

a is when n = 1 so a = 6*2 = 12 r = 2

so substitute and then evaluate