Answer:
Im doing quite ok.
Step-by-step explanation:
How have you been?
Answer:
b
Step-by-step explanation:
Area of a rectangle = length x width
length = 8 + 2 = 10
width = 10 + 2 = 12
10 x 12 = 120
Answer:
25
Step-by-step explanation:
350/14=25
Natalie will fill 25 boxes with pencils.
Answer:
4(4g+5h)
Step-by-step explanation:
Factor out the 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
