destinycid181 destinycid181
  • 11-01-2019
  • Mathematics
contestada

Does the following infinite geometric series diverge or converge? Explain. 6 + 24 + 96 + 384 + . . .

Respuesta :

lisboa lisboa
  • 11-01-2019

Answer:

Diverge

Step-by-step explanation:

6 + 24 + 96 + 384 + . . .

6* 4= 24

24* 4= 96

common ratio is 4

 the formula for nth term is

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

a_1 is the first term and r is the common ratio

[tex]a_n = 6(4)^{n-1}[/tex]

If common ratio (r) is between 0  and 1  then series is converging

if common ratio (r) is greater than 1 then series is diverging

We know common ratio r= 4

4 > 1 so series is diverging


Answer Link
lexusdixon3
lexusdixon3 lexusdixon3
  • 01-09-2021

Answer:

diverge!!!!!!!!

Step-by-step explanation:

Answer Link

Otras preguntas

What responsibility is given to the caliph in the first duty?
33 students are in the band.there are 6 more 5th grade students than 3rd grade students. There is an equal number of 3rd grade and 4th grade students. How many
What fraction of 1 gallon is 1 quart
How did the majority of Supreme Court justices in the case of Plessy v. Ferguson interpret the 14th Amendment?         A.
is 0.1km greater than 10mm?
What fraction of 1 gallon is 1 quart
Why is DNA frequently found associated with protein inside cells
How do you do 3b+7.1=2.5b+11.5
Which term best describes the relationship between the leopard seals and crabeater seals?    A.parasitism  B.predation  C.competition  D.mutualism
12 times the square root of 2 equals ?