With the options:
X=-8
X=-4
X=4
X=8
The correct answer is x=4
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
<h3>
Answer: 464 square units</h3>
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Explanation:
Refer to the figure below.
I've added lines in red to form a large square that is 24 by 24, so its area is 24*24 = 576 square units.
Region A is an 8 by 8 smaller square of area 8*8 = 64 square units.
Region B is a 12 by 4 rectangle of area 12*4 = 48 square units.
Subtract these areas from the 576 found earlier
(area of the largest square) - (area region A) - (area region B)
(576) - (64) - (48)
464
Answer:
its the second option
Step-by-step explanation:
picking the value of x and fixing it in the equation gives the y value