emilyhourigan77 emilyhourigan77
  • 26-05-2021
  • Mathematics
contestada

how many terms in the geometric series
a1 = 4, r = 4, Sn = 5460

Respuesta :

Аноним Аноним
  • 26-05-2021

Answer:

[tex]Sn = \frac{a( {r}^{n - 1}) }{r - 1} \\ 5460 = \frac{4( {4}^{n - 1} )}{3} \\ 4095 = {4}^{(n - 1)} \\ 4095 = \frac{4 {}^{n} }{4} \\ {4}^{n} = 16380 \\ {4}^{n} = {4}^{7} \\ n = 7 \: terms[/tex]

Answer Link

Otras preguntas

The book the lord of the rings by j. R. R. Tolkien, in which the main character must go on a journey to destroy a magical ring, is an example of which plot arch
Write the sentence as an equation. 356 is equal to 201 reduced by t
30 treadmills to 36 elliptical machines write the ratio in simplest form
Please help! 15 Points!
If Johnny had twelve halves of dishsoap and bought five halves how much dishsoap will Johnny have?
What is the kinetic energy of an object that has a mass of 50.0kg and a velocity of 18 m/s?
True or False: La naranja es un vegetal
a researcher wants to experiment with an element that reacts like phosphorus (p) but has a greater atomic mass. which element should the researcher select for t
how effective were unions in shaping political and economic policies?
a kitchen sink is a rectangular prism with a length of 19 7/8 inches, a width of 14 3/4 inches, and height of 10 inches. Estimate the volume of the sink.