hayliesewell hayliesewell
  • 23-02-2020
  • Mathematics
contestada

The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5.
What is the first term of the series?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-02-2020

Answer:

  4

Step-by-step explanation:

The sum of n terms of a geometric series with first term a1 and common ratio r is given by ...

  Sn = a1·(r^n -1)/(r -1)

for r=5 and n=6, this becomes ...

  15624 = a1·(5^6 -1)/(5 -1) = a1·(15624/4)

Then we have ...

  1 = a1/4 . . . . . divide by 15624

  4 = a1 . . . . . . multiply by 4

The first term of the series is 4.

Answer Link

Otras preguntas

The mechanical advantage of a machine is always greater than 1. true or false
What has been the history of the black religious leadership in american politics?
An infection in the body might result in a sudden
What are the two island countries that are part of south asia?
What are some problems the Americans had to face during the Space Race?
A 250 mL sample of a .125 M solution of NaOH contains _____g of NaOH
1.At a video arcade , Jenny buys 25 tokens.She uses two tokens for each game She plays. a ) Write an expression for the number of tokens Jenny left after playin
What are stem cells, and why might a person with damage to the brain or spinal cord be very interested in the advancement of this field?
4n-3=-2n+9 What is the value of the variable 'n'?
Can someone please PLEASE give me the answer and ye..I don't wanna guess on this one since it' big part of my grade