Answer:
t(n) = 2n² + n - 3
Step-by-step explanation:
<u>Given sequence: </u>
Find the formula for nth term t(n)
<h3>Solution</h3>
<u>Sequence is neither arithmetic nor geometric, analyzing:</u>
<u>First level difference</u>
<u>Second level difference</u>
<u>As there are two levels, the formula should be in the form of:</u>
<u>Trying the formula with the known terms:</u>
- t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7
- t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3
<u>Going back to previous equations to find remaining coefficients:</u>
- t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1
<u>So the formula becomes:</u>
t(n) = 2n² + n - 3
Answer:
x = -3
Step-by-step explanation:
System of equations has been given as,
y = 2x + 8
y = 
Since, solution of the system of equations is the point of intersection on the graph.
Therefore, point of intersection or solution of the system will be,
(x, y) = (-3, 2)
This common point will satisfy both the equations.
And x = -3 will also both the equations.
Answer:
100 - 20 = 80
original cost/100 X 80 = sale price
Answer:

Step-by-step explanation:
Hello,
What you did is correct...

... and you found A by identifying the term in
to get A = 5, right?
<u>What about the other terms?</u>
<u />
We can then identify the like terms:
>>> term in 
A = 5
>>> term in x
-2A+3=B
>>> constant term
6 = 6
As we know that A=5 it means that B = -2*5-3=-13
Hope this helps.
Do not hesitate if you need further explanation.
Thank you