PrettyAddictionxoxo
PrettyAddictionxoxo PrettyAddictionxoxo
  • 10-12-2021
  • Mathematics
contestada

A recursive rule for a geometric sequence is
a1 = 9; an = 2/3 (an−1)

What is the iterative rule for this sequence?

A.) an = 9 • (2/3)^n
B.) an = 2/3 • 9^n
C.) an = 9 • (2/3)^n-1

Respuesta :

cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 10-12-2021

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Answer Link

Otras preguntas

what is the definition of variable expression
Y=x+3 is it a linear function?
Shannon had 765 cards in her baseball collection.  She sold 153 of the cards to purchase a new iPod.  What is the percent of change in the number of Shannon's b
What are the prime factorization of 2100 in exponential form
Civilization has changed much in the last 2,000 years, or two ____________.A.millennia  B.centuries  C.millennium  D.decades
Eight thousands equals how many ones
Explain how to multiply a whole number by a decimal in the hundredths?
how are detritivors different from the composers?
What is the process to find the product of 6x107 for 5th grade
how do you solve x/3-7x/12=2/3?