kaylynnrank
kaylynnrank kaylynnrank
  • 14-09-2016
  • Mathematics
contestada

find r for the geometric series s5=244 a1=4 and a5=324

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-10-2018

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

[tex]r=-\sqrt[4]{81}=-3[/tex]

Answer Link

Otras preguntas

One of the most loved Christmas books is A Christmas Carol. Who wrote it? A) Mark Twain B) Charles Dickens C) Hans Christian Andersen D) Thomas M. Sawyer
What is the meaning of the Greek root port as it is used in the word comports?
What was significant about the fossils Darwin found?
How did new railroads benefit western cattle ranchers?
What is the biggest selling Christmas single of all time?
What was vaudeville? A. a small village park at the end of the trolley line B. a very sensationalistic newspaper C. a show that featured a wide variety of sh
How do I solve 3x+2y=23 1/2x-4=y by using substitution?
why might a computer model be used to study the movement of atoms
What is the prime factorization of 196? a 2(2) x 7(7) b 2 x 7(7) c 2 x 7 x 14 d 2(2) x 49
what did the chumash use to make things