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.
Problem 4-25
a. ii - Relation: When the latitude increases, the temperature decreases.
b. iv - Relation: all cars regardless of the weight goes at the same speed.
c. iii - Relation: No relationship
d. i - Relation: People with more expensive homes have more expensive cars.
System of Equations Part
You can plug these (x,y) values in one of the equations to see if it is true.
a. (1,2)
b. (0,-4)
c. (3,7)
Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal
Therefore:
Length of the pencil
Answer:
-1 is the only answer that is greater than -5