Answer:
Step-by-step explanation:
<u>Given recursive formula:</u>
- a₁ = -1
- aₙ = - 3aₙ₋₁ + 6 for n ≥ 2
<u>The first 4 terms are:</u>
- a₁ = - 1, given
- a₂ = - 3*(-1) + 6 = 3 + 6 = 9
- a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
- a₄ = - 3*(-21) + 6 = 63 + 6 = 69
Answer:
5. 
Step-by-step explanation:
==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Initial: 10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
--
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
--
Let's try our equation.




*Edit: I just seen that the question is related to the picture question
Answer:
The value of y is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the line passes through the origin
therefore
Is a proportional variation
Find the value of k
with the point 

The equation is equal to

so
For 
substitute
