Answer:
The 14th term is -58
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term
d is the common difference and
n is the term number
a1 = 7
d = 2-7 = -5
Check -3-2 = -5 so d = -5
an = 7 -5(n-1)
We want the 14th term
a14 = 7 -5(14-1)
a14 = 7 -5(13)
a14 = 7 -65
a14 = -58
Answer:
y = | x+2 | -1
Step-by-step explanation:
The absolute value function is shifted left 2 units and down 1. That makes it ...
y = abs(x+2) -1
Using the usual symbols for absolute value:
y = |x+2| -1
_____
The translation transformation is ...
y = f(x -a) +b
to translate the graph of f(x) right by "a" units and up by "b" units. Here, we have a translation left 2 and down 1, so a=-2, b=-1. The original function is the absolute value function in this case.
<span>-0.38 = -38/100 = -19/50</span>
Answer:

Step-by-step explanation:
The generating function a(x) produces a power series ...

where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...

This can be rearranged to ...

We can formulate this in terms of a(x) as follows, then solve for a(x).

The generating function is ...
a(x) = 1/(1+2x)