We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:
Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².
We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
The answer is -125. Get this by taking (-5)(-5)(-5)
Answer:
1.B 2.B 3.A
Step-by-step explanation:
1.(70-24)/2 = 23
2. 295 x 8.95 =2640.25 - 400 = 2240.25 ~ $2000
3. 21hoursx48 weeks x 2years = 2016 hours ~ 2000
Answer:
4r to the power of 2 - 3r +1
Answer:
True
Step-by-step explanation:
Formula
Tan(x) = opposite / adjacent
Givens
x = 42
adjacent = 14
opposite = ?
Solution
Tan(42) = opp/14 Find tan(42)
Tan(42) = 0.900404
0.900404 = opp/ 14 Multiply both sides by 14
14 * 0.900404 = opp/14 * 14 Simplify the left
12.6 rounded = opp
a = 12.6
