In Problems 3 - 8 , determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 1 − 1 4 + 1 9 − ⋯ − 1 100 2
In Problems 3 - 8 , determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum. 1 − 1 4 + 1 9 − ⋯ − 1 100 2
Solution Summary: The author explains that the finite series 1-14+frica9-cdots is neither arithmetic nor geometric. The sequence a
In Problems
3
-
8
, determine whether the finite series is arithmetic, geometric, both, or neither. If the series is arithmetic or geometric, find its sum.
2. We want to find the inverse of f(x) = (x+3)²
a. On the graph at right, sketch f(x).
(Hint: use what you know about
transformations!) (2 points)
b. What domain should we choose to
get only the part of f (x) that is one-
to-one and non-decreasing? Give
your answer in inequality notation. (2
points)
-
c. Now use algebra to find f¯¹ (x). (2
points)
-4-
3-
2
1
-4
-3
-2
-1
0
1
-1-
-2-
--3-
-4
-N-
2
3
4
1. Suppose f(x) =
2
4
==
x+3
and g(x) = ½-½. Find and fully simplify ƒ(g(x)). Be sure to show all
x
your work, write neatly so your work is easy to follow, and connect your expressions
with equals signs. (4 points)
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