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:
n= 13.8 years
Step-by-step explanation:
<u>First, we need to determine the daily interest rate:</u>
Daily interest rate= 0.03 / 365
Daily interest rate= 0.000082
<u>Now, using the following formula we can determine the number of days and years:</u>
n= ln(FV/PV) / ln(1+i)
n= ln(13,000 / 8,600) / ln(1.000082)
n= 5,039 days
<u>In years:</u>
n= 5,039/365
n= 13.8 years
Answer:
The answer to the question provided is -62.
Step-by-step explanation:
Given that,
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race.
Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.
ATQ,
0.75x + 1.5y > 6
The graph represent the scanario for the given data.