NateTheGreat0929
NateTheGreat0929 NateTheGreat0929
  • 04-07-2021
  • Mathematics
contestada

What is the rule for the following geometric sequence? 64,128,256,512...
a) a_(n) = 64(-2)^n-1
b) a_(n) = 64(2)^n-1
c) a_(n) = 64(1/2)^n-1
d) a_(n) = 64(-1/2)^n-1

Respuesta :

jimrgrant1 jimrgrant1
  • 04-07-2021

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{128}{64}[/tex] = 2 , then

[tex]a_{n}[/tex] = 64 [tex](2)^{n-1}[/tex] → B

Answer Link
Аноним Аноним
  • 04-07-2021

Answer:

b).

[tex]{ \tt{a _{n} = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}[/tex]

Answer Link

Otras preguntas

Which characteristic is shared by sonnets and haiku?
graph y=3sinx and y=sin 3x on the same axes. label the graph of each function.
What number is equivalent to 13/2
'for a good cause if you are determined you are able to overcome any obstacle'. explain
Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbers.
Multiply these fractions (Lowest Terms) a) 2 x 3/4 b) 3 x 3/5 c) 4 x 1/3 d) 6 x 2/5 e) 1/2 x 1/4 f) 4/5 x 2/3 g) 5/6 x 3/4 h ) 1/10 x 2/3 i) 2 1/5 x 1/
Find the length of the radius of the following circle. (x + 2)2 + y2 = 10
How many flags are in this wolld ;)
Compute the value of the discriminant and give the number of real solutions to the quadratic equation: 3x^2 - 7x + 9 = 0
how do u find the area of a triangle