Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as

compute the differences of all the adjacent terms

The difference between all the adjacent terms is the same.
Thus,

and

Therefore, the nth term is computed by:


Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
Answer:
$24
Step-by-step explanation:
You simply do $42-$18
=24
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48
The answer is 1/13, because 13 goes into 169 13 times