 9.2.1: A sequence is called an ________ sequence when the differences betw...
 9.2.2: The term of an arithmetic sequence has the form ________.
 9.2.3: When you know the term of an arithmetic sequence and you know the c...
 9.2.4: You can use the formula to find the sum of the first terms of an ar...
 9.2.5: 10, 8, 6, 4, 2, . . .
 9.2.6: 4, 9, 14, 19, 24, . . .
 9.2.7: 1, 2, 4, 8, 16, . . .
 9.2.8: 80, 40, 20, 10, 5,
 9.2.9: 9 4, 2, 7 4, 3 2, 5 4, . . .
 9.2.10: 5.3, 5.7, 6.1, 6.5, 6.9, . . . 9
 9.2.11: ln 1, ln 2, ln 3, ln 4, ln 5, . . .
 9.2.12: 12, 22, 32, 42, 52, . . .
 9.2.13: an 5 3n a
 9.2.14: an 100 3n n
 9.2.15: an 3 4n 2 an 1
 9.2.16: an 1 n 14 an
 9.2.17: an 1n an
 9.2.18: an 2n1 an
 9.2.19: an n 1n3 n an
 9.2.20: an 2n an n 1n3
 9.2.21: a1 1, d 3 a1
 9.2.22: a1 15, d 4 a
 9.2.23: a1 100, d 8 3 a
 9.2.24: a1 0, d 2 a1 100, d 8 3 a1 1
 9.2.25: 4, 1 2, 1, 7 2 , . . . a1
 9.2.26: 10, 5, 0, 5, 10, . . . 3
 9.2.27: a1 5, a4 15 a1
 9.2.28: a1 4, a5 16 4,
 9.2.29: a3 94, a6 85 a5
 9.2.30: a5 190, a10 115 a
 9.2.31: a1 5, d 6 4
 9.2.32: a1 5, d 3 a
 9.2.33: a1 5 , d 2 5 a1 5
 9.2.34: a1 16.5, d 0.25 13
 9.2.35: a1 2, a12 46 a4
 9.2.36: a4 16, a10 46 a
 9.2.37: a8 26, a12 42 a3
 9.2.38: a3 19, a15 1.7 a1
 9.2.39: a1 15, an1 an 4 a
 9.2.40: a1 200, an1 an 10 a1
 9.2.41: a1 5 8, an1 an 1 8 a1
 9.2.42: a1 0.375, an1 an 0.25 a
 9.2.43: a1 5, a2 11, a10 a1
 9.2.44: a1 3, a2 13, a9 a1
 9.2.45: a1 4.2, a2 6.6, a7 a1
 9.2.46: a1 0.7, a2 13.8, a8 a1 4.
 9.2.47: 2 4 6 8 10 12 14 16 18 20
 9.2.48: 1 4 7 10 13 16 19
 9.2.49: 1 3 5 7 9 1 4 7 1
 9.2.50: 5 3 1 1 3 5 1 3
 9.2.51: Sum of the first 100 positive odd integers
 9.2.52: Sum of the integers from to 30
 9.2.53: 8, 20, 32, 44, . . . , n 10
 9.2.54: 6, 2, 2, 6, . . . , n 50 8,
 9.2.55: 4.2, 3.7, 3.2, 2.7, n 12
 9.2.56: 75, 70, 65, 60, n 25
 9.2.57: a1 100, a25 220, n 25 .
 9.2.58: a n 100 1 15, a100 307, a1
 9.2.59: 50 n1 n
 9.2.60: 100 n51 7n
 9.2.61: 30 n11 n 10 n1 n
 9.2.62: 100 n51 n 50 n1 n 30
 9.2.63: 500 n1 n 8
 9.2.64: 250 n1 1000 n 500
 9.2.65: an 3 4 n 8 2 1
 9.2.66: an 3n 5 3
 9.2.67: an 2 an 25 3n 3 4 n an
 9.2.68: an 25 3n 3
 9.2.69: an 15 3 2n n
 9.2.70: an 5 2n a
 9.2.71: an 0.2n 3
 9.2.72: an 0.3n 8 a
 9.2.73: 50 n0 50 2n an
 9.2.74: 100 n1 n 1 2
 9.2.75: 60 i1 250 2 5i
 9.2.76: 200 j1 10.5 0.025j
 9.2.77: Seating Capacity Determine the seating capacity of an auditorium wi...
 9.2.78: Brick Pattern A triangular brick wall is made by cutting some brick...
 9.2.79: $32,500 $1500
 9.2.80: $36,800 $1750
 9.2.81: Falling Object An object with negligibleair resistance isdropped fr...
 9.2.82: Prize Money A county fair is holding a baked goods competition in w...
 9.2.83: Total Sales An entrepreneur sells $15,000 worth of sports memorabil...
 9.2.84: Borrowing Money You borrow $5000 from your parents to purchase a us...
 9.2.85: Data Analysis: Sales The table shows the sales (in billions of doll...
 9.2.86: Writing Explain how to use the first two terms of an arithmetic seq...
 9.2.87: Given an arithmetic sequence for which only the first two terms are...
 9.2.88: If the only known information about a finite arithmetic sequence is...
 9.2.89: a x, d 2x n n
 9.2.90: a1 y, d 5y 1
 9.2.91: Comparing Graphs of a Sequence and a Line (a) Graph the first 10 te...
 9.2.92: HOW DO YOU SEE IT? A steel ball with negligible air resistance is d...
 9.2.93: Pattern Recognition (a) Compute the following sums of consecutive p...
Solutions for Chapter 9.2: Arithmetic Sequences and Partial Sums
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 9.2: Arithmetic Sequences and Partial Sums
Get Full SolutionsChapter 9.2: Arithmetic Sequences and Partial Sums includes 93 full stepbystep solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 93 problems in chapter 9.2: Arithmetic Sequences and Partial Sums have been answered, more than 35913 students have viewed full stepbystep solutions from this chapter.

Acute triangle
A triangle in which all angles measure less than 90°

Aphelion
The farthest point from the Sun in a planet’s orbit

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Equilibrium price
See Equilibrium point.

Focus, foci
See Ellipse, Hyperbola, Parabola.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Hypotenuse
Side opposite the right angle in a right triangle.

Infinite sequence
A function whose domain is the set of all natural numbers.

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Natural exponential function
The function ƒ1x2 = ex.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Polynomial interpolation
The process of fitting a polynomial of degree n to (n + 1) points.

Range of a function
The set of all output values corresponding to elements in the domain.

Recursively defined sequence
A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Vertex of an angle
See Angle.

Weights
See Weighted mean.

xyplane
The points x, y, 0 in Cartesian space.