thewildcon778 thewildcon778
  • 24-03-2019
  • Mathematics
contestada

A geometric sequence is defined by a the recursive formula t1 = 243, tn + 1 = tn/3

where n ∈N and n ≥ 1. The general term of the sequence is

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-03-2019

Answer:

  tn = 243·(1/3)^(n-1)

Step-by-step explanation:

The recursive formula tells you the first term (243) and the common ratio (1/3). You can put these numbers into the general formula for the n-th term of a geometric sequence:

  an = a1·r^(n-1) . . . . . where a1 is the first term and r is the common ratio

You want the n-th term of your sequence to be called tn, so ...

  tn = 243·(1/3)^(n-1)

Answer Link

Otras preguntas

Which argument is valid? (Points : 1) If a number is divisible by 12, it is divisible by 6. If a number is divisible by 6, it is divisible b
there are 50 rabbits on a farm. They are increasing at the rate of 12% every month. How many months will it be until there are 1000 rabbits?
How can the existence of spectra help to prove that energy levels in atoms exist?
In the following sentence what does the adverb away answer? Greta was telling Lucas that she was going away for the long holiday weekend. A. When? B, Where? C.
What does it mean to be a Christian?
PLEASE HELP I GIVE THANKS
The different of anumber and 12
what is th scientific notation for 1,090,00
How do i use a table of values to graph this function y=-x^2+4x+5?
Why do volunteers clean sea otters after an oil spill occur