First we need to determine the type of progression in the question.That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progressionr = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rulea₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progressiona₁ = 2
Final answer:Recursive rule

a₁ = 2
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Answer:
- h(t) = -16t^2 +188
- 3.4 seconds
Step-by-step explanation:
The usual equation for ballistic motion is ...
h(t) = -16t^2 +v0·t +s0
where v0 is the initial upward velocity, and s0 is the initial height above some reference point.
Here, we presume there is no initial vertical velocity, and the height is given as 188 ft above the river. Since we want the time to reach the river, we're solving ...
h(t) = -16t^2 +188
h(t) = 0
-16t^2 +188 = 0
t^2 -11.75 = 0
t = √11.75 ≈ 3.4
It takes about 3.4 seconds for the log to reach the river.
Answer:
Any job that uses rates uses fractions. For example, shipping rates are determined by weight or volume of the package being measured. The rate is a fraction in units of dollars per pound or dollars per cubic inch.
Step-by-step explanation:
Hope this helps!