Unit 5 Assessment Review

For the geometric sequence modeled in the table, the recursive rule is a₁ = 7 and a_n = .5(a_n-1) for n ≥ 2.

Identify the a₆ term of the geometric sequence.

Anakin was solving the following problem in class.

A certain germ doubles every 20 minutes. A population sample that begins with 300 cells in the testing tray can be represented by the function:  $$B=300\left(2\right)^t$$

where B is the number of bacteria cells and t is the time in 20 minute increments. 

Anakin graphed the function and described the y-intercept and asymptote of the function. Which of the following could be his description? 

Which of the following correctly identifies the domain and range of the following function $$f\left(x\right)=-12\left(5\right)^x$$ ?

The initial value of a home is $350,000. The value of the home will increase at a rate of 5% each year.

Which graph best models the situation?

Which expression is equivalent to $$17x^{-7}$$ for all values of y where the expression is defined.