johnaragundi johnaragundi
  • 03-04-2019
  • Mathematics
contestada

Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:

-5

-2

2

5

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-04-2019

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

[tex]a_n=(-2)(5)^{n-1}[/tex]

In general the nth term of a geometric sequence is

[tex]a_n=a_1(r)^{n-1}[/tex]

By comparism;

[tex]r=5[/tex] is the common ratio of the sequence.

Or

[tex]a_1=(-2)(5)^{1-1}=-2[/tex]

[tex]a_2=(-2)(5)^{2-1}=-10[/tex]

Common ratio is

[tex]r=\frac{-10}{-2}=5[/tex]

Answer Link

Otras preguntas

PLEASE HELP 20 POINTS!The sum of the x- and y-intercepts of the graph of 5x+3y = k is 32 5. Find the length of the line segment joining the x- and y-intercepts.
what are the 2 types of behavioral responses??
what are the 2 types of behavioral responses??
What's the formula to perimeter
what is the comparative and superlative of many, lazy, smooth, and rough
determine the most precise name of the quadrilateral ABCD from the information given. for #13 & #14
determine the most precise name of the quadrilateral ABCD from the information given. for #13 & #14
estimate for 412*5.904/0.195any one knw the estimate for this and how to work it out
a map has a scale of 2 in : 25 mi. The map shows a highway is 31 inches long. how long is the actual highway?
what are the main sacred text of judaism