PRECALCULUS 12 GRADE

Question

GIVEM THE GEOMETRIC SEQUENCE WHERE a2=4 AND r=3.WRITE AN EXPONENTIAL FUNCTION THAT WILL CONTAIN THE DOMAIN OF THE SEQUENCE.

f(n)= 4/3(3)^n - INCORECT

f(n)=4/3(3)^n-1 -INCORECT

PLEASE , HELP

Answer 1

The system may be looking for something like:

f(x) = (4/3)*3^(x-1)

Onine checking systems are notoriously picky. If your system provides examples, check them carefully and make sure your answer complies with the syntax of the example.

If the system does not give you credit, take a screen shot of the answer as well as your answer. If the system's answer is essentially the same as your answer, show your teacher. You teacher should give you credit for the problem.

Answer 2

a_n = 4 × 3^{(n - 2)} should be correct. Since a₂ = 4, this constant should appear in the formula. r = 3 means that the base of the exponential should be 3. And because it's a₂, not a₁ or a₀, that is 4, the exponent on 3 has to be n - 2, so that a₂ can have the correct value. I;m not sure why 4/3 times 3^{(n - 1)} was flagged as incorrect; perhaps your school's checking software isn't as smart as most.