abbas23sabraoui abbas23sabraoui
  • 19-09-2021
  • Mathematics
contestada

Which expression could be used to find the sum of the first n terms of the geometric sequence that begins 11,22,44,…?

Respuesta :

jimrgrant1 jimrgrant1
  • 19-09-2021

Answer:

[tex]S_{n}[/tex] = 11([tex]2^{n}[/tex] - 1)

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{1n[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 11 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{22}{11}[/tex] = 2 , then

[tex]S_{n}[/tex] = [tex]\frac{11(2^{n}-1) }{2-1}[/tex] = 11 ([tex]2^{n}[/tex] - 1)

Answer Link

Otras preguntas

What’s the difference between a command economy and a market economy
Ptolemy did not need to be concerned about distortion from projections because his map was based on
The price of a cap is increased by 25%.By how much percent should its price be decreased now to get the original price?
8 ÷ 2 ( 2 + 2 ) = ? Help...please
If a population grows 3.5% per year, how much does it grow per decade? A. 35% B. 41.1% C. 38% D. 27.6%
Why do you think Bryan didn't say anything about the illegal search of his car as it was happening?
Choose all of the expressions that are equal to -9. the opposite of nine -191 1-91 -1-91 -(-9) the distance from zero to nine
In the monkeys paw which two lines reflect the theme that men must never go against fate
personajes principales de “Aura o las Violetas”
What is slope - intercept form and what do the variables represent?