a) Explain why this sequence is an arithmetic sequence.
It is an arithmetic progression since it is a succession of numbers such that the difference of any pair of successive terms in the sequence is constant, in this case, it is 3.
b) Write out the sequence using blanks where appropriate.
Week|Distance
1 5
2 8
3 1 1
4 14
. .
. .
. .
c) Write the explicit formula for the sequence.
an = a1 + d*(n -1)
an = 5 + 3*(n - 1)
an = 5 + 3*n - 3
an = 3*n + 2
d) How far will the patient walk during the 12th week?
a12 = 3*12 + 2
a12 = 38
that is to say, in that week I walk 38 km
Answer:
5 servings
Step-by-step explanation:
1 serving is 1 cup so 5 servings is 5 cups
When y=6, then in equation 7y=8x-14 we write 6 instead of y:
7×6=8x-14
42=8x -14
8x-14=42 (now we add 14 to both sides of equation)
8x=56 (now we divide by 8 both sides of equation)
x=7
Answer: x=7
Answer:
b. 5
Step-by-step explanation:
In a stem and leaf plot, each observation is split into a stem (the first digit or digits) and a leaf (usually the last digit).
In this example, the entries in the 20s, 30s, and 40s are:
20, 20, 24, 25, 26, 35, 36, 43, 43
We omit 20, 20, 43, and 43 because they are not between 20 and 40.
That leaves the five observations
24, 25, 26, 35, 36
