contestada

Find the sum of the first 13 terms of the geometric sequence shown below

4, 12, 36, 108, .........

The sum of the first 13 terms is?

Respuesta :

the sum of a geometric sequence with  a common ratio or r and a fist term of a1 and summing to term n is
[tex] \frac{a_1(1-r^n)}{1-r}[/tex]
common ratio is 3=r
first term is 4
13 terms
[tex] \frac{4(1-3^13)}{1-3}[/tex]=
[tex] \frac{4(1-3^13)}{-2}[/tex]=
3188644

4,  12 ,36, 108, 324, 972, 2916,8748, 26244, 78732, 236196, 708588, 2,125,764.
All the sums are multiplied by 3.