For Exercises 19-24. a. Write a nonrecursive formula for the n th term of the arithmetic sequence a n based on the given information. b. Find the indicated term. a. a 1 = − 12 , d = 5 b. Find a 20 .
For Exercises 19-24. a. Write a nonrecursive formula for the n th term of the arithmetic sequence a n based on the given information. b. Find the indicated term. a. a 1 = − 12 , d = 5 b. Find a 20 .
Solution Summary: The author calculates the non-recursive formula for the nth term of the arithmetic sequence, which is 5n-17.
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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