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:
htrh trhr thjt h
Step-by-step explanation:
tr h dhfghd t
Are you sure that’s the question?
Answer: B
Work:
Since the general formula of an arithmetic sequence is f(n) = (the first term) + (common difference)*(n-1), you just plug in what was given to you in the problem to that equation. The first term is -20 and the common difference is +15 since the the increase from one term to the next is 15. Doing so produces the equation f(n) = -20 + 15(n-1), which is choice B.
