lizzegrace lizzegrace
  • 10-03-2022
  • Mathematics
contestada

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Respuesta :

raz00r
raz00r raz00r
  • 13-03-2022

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

Answer Link

Otras preguntas

8 thousands, 9 hundreds, 2 tens in standard form
what is 3 3/8 in simplest form
necesito oraciones con las siguientes palabras ( vocablo,prefijo,neologismos , arcaísmos,voseo, yeismo , heterogénea y bastión ) es urgente plis cualquier ayuda
how many seconds is 12.6 minutes?
using a few phrases from an article and mixing them in with your own words is not plagiarism. true or false.
what is 12 and 3/4 as a decimal
three brother spent different amount of money on their recent vacation. matt spent $25 less than todd. jeff spent 3 times as much as matt. how much spend if the
why do people suffer from psychological disorders
first aid is the emergency care given to a sick or injured person until
How do you write 20,484,163 in expanded form? with multiple