We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
Length = x + y
Area of a square = Length x Length
The expression can be :
1) Area of the square = (x + y)(x + y)
2) Area of the square = (x + y)²
3) Area of the square = x² + 2xy + y²
<h3>
Answer: 21x+14 (choice A)</h3>
Explanation:
Use the distribution rule to multiply the outer 7 by each term inside
- 7 times 3x = 21x
- 7 times 2 = 14
We go from 7(3x+2) to 21x+14
The value of p = 11
y = 5x + p
1 = 5(-2) + p
1 = -10 + p
11 = p
Answer:
The chart is linear, the graph is not.
Step-by-step explanation:
Because the graph is curved and not straight, it is non-linear. You can also tell that this is non-linear because the rate of change, or slope, is inconsistent. The chart is linear because it has a consistent slope. I hope this helps, have a nice day. :-)